All problems

Power rule 57

2.7 2.16 2.37 2.42 2.47 2.50 2.57 2.75 2.86 2.87 2.98 2.100 2.102 2.114 2.141 2.143 2.146 2.151 2.155 2.163 2.169 2.176 2.180 2.198 2.199 2.202 2.208 2.240 2.242 2.244 2.248 2.250 2.256 2.295 2.320 2.374 2.379 2.391 2.430 2.438 2.446 2.452 2.460 2.472 2.513 2.522 2.627 2.636 2.643 2.646 2.667 2.679 2.693 2.697 2.698 2.711 2.716

Product rule 61

2.12 2.22 2.30 2.55 2.68 2.78 2.85 2.92 2.96 2.123 2.145 2.201 2.222 2.278 2.310 2.314 2.315 2.316 2.317 2.342 2.384 2.387 2.390 2.397 2.403 2.426 2.428 2.458 2.478 2.498 2.511 2.517 2.520 2.529 2.537 2.539 2.551 2.575 2.584 2.594 2.603 2.609 2.621 2.622 2.632 2.645 2.652 2.653 2.654 2.656 2.658 2.660 2.663 2.668 2.669 2.674 2.676 2.683 2.705 2.710 2.713

Quotient rule 53

2.322 2.325 2.328 2.330 2.332 2.337 2.339 2.346 2.359 2.362 2.367 2.372 2.409 2.417 2.427 2.436 2.441 2.442 2.443 2.445 2.450 2.457 2.487 2.496 2.504 2.514 2.521 2.540 2.556 2.558 2.564 2.568 2.572 2.576 2.586 2.588 2.589 2.595 2.599 2.615 2.624 2.628 2.642 2.644 2.647 2.661 2.670 2.672 2.677 2.686 2.687 2.694 2.715

Chain rule 297

2.1 2.2 2.3 2.4 2.5 2.6 2.8 2.9 2.13 2.14 2.15 2.17 2.18 2.19 2.20 2.21 2.23 2.24 2.26 2.27 2.28 2.29 2.31 2.32 2.33 2.34 2.35 2.38 2.39 2.41 2.43 2.44 2.45 2.46 2.48 2.49 2.51 2.52 2.53 2.54 2.56 2.58 2.59 2.60 2.61 2.62 2.63 2.64 2.65 2.67 2.69 2.70 2.71 2.72 2.73 2.74 2.76 2.77 2.79 2.80 2.81 2.82 2.83 2.84 2.88 2.89 2.90 2.91 2.93 2.94 2.95 2.97 2.99 2.103 2.104 2.105 2.106 2.108 2.109 2.110 2.111 2.112 2.113 2.115 2.116 2.117 2.118 2.119 2.120 2.121 2.122 2.124 2.125 2.126 2.127 2.128 2.129 2.130 2.131 2.132 2.133 2.134 2.135 2.136 2.137 2.138 2.139 2.140 2.142 2.144 2.147 2.148 2.149 2.150 2.152 2.153 2.154 2.156 2.157 2.158 2.159 2.160 2.161 2.162 2.164 2.166 2.167 2.168 2.170 2.172 2.173 2.174 2.175 2.177 2.178 2.179 2.181 2.182 2.183 2.184 2.185 2.186 2.187 2.188 2.190 2.191 2.192 2.193 2.194 2.195 2.196 2.197 2.200 2.203 2.204 2.205 2.206 2.207 2.209 2.210 2.211 2.212 2.213 2.216 2.217 2.218 2.219 2.220 2.221 2.223 2.224 2.225 2.226 2.228 2.229 2.230 2.231 2.232 2.233 2.234 2.235 2.237 2.238 2.239 2.241 2.243 2.245 2.246 2.247 2.249 2.251 2.252 2.253 2.254 2.255 2.257 2.258 2.259 2.260 2.261 2.262 2.263 2.264 2.265 2.266 2.267 2.268 2.269 2.270 2.271 2.272 2.273 2.275 2.276 2.277 2.279 2.280 2.281 2.282 2.283 2.284 2.285 2.287 2.288 2.289 2.290 2.291 2.292 2.293 2.294 2.296 2.298 2.299 2.300 2.301 2.302 2.303 2.304 2.305 2.306 2.308 2.309 2.311 2.312 2.313 2.318 2.319 2.341 2.348 2.349 2.350 2.351 2.358 2.398 2.399 2.455 2.467 2.469 2.507 2.512 2.525 2.530 2.531 2.532 2.533 2.534 2.535 2.536 2.541 2.543 2.550 2.552 2.557 2.560 2.563 2.566 2.574 2.598 2.606 2.611 2.619 2.629 2.673 2.675 2.680 2.684 2.691 2.692 2.696 2.700 2.702 2.712 2.718 2.721 2.722 2.723 2.724

Derivatives of trigonometric functions 76

2.36 2.66 2.101 2.171 2.214 2.297 2.345 2.352 2.360 2.363 2.368 2.373 2.383 2.388 2.392 2.393 2.405 2.411 2.415 2.423 2.431 2.433 2.449 2.454 2.462 2.464 2.468 2.474 2.475 2.479 2.495 2.500 2.501 2.503 2.505 2.523 2.528 2.538 2.542 2.545 2.555 2.567 2.573 2.578 2.579 2.580 2.590 2.596 2.601 2.605 2.610 2.613 2.623 2.630 2.637 2.641 2.657 2.659 2.662 2.664 2.665 2.666 2.671 2.678 2.681 2.688 2.689 2.690 2.699 2.701 2.704 2.706 2.707 2.708 2.709 2.714

Derivatives of exponential functions 52

2.25 2.40 2.165 2.274 2.307 2.333 2.336 2.340 2.347 2.361 2.364 2.369 2.381 2.382 2.389 2.394 2.404 2.412 2.413 2.421 2.422 2.432 2.437 2.444 2.451 2.453 2.463 2.471 2.480 2.483 2.488 2.492 2.493 2.506 2.515 2.518 2.524 2.546 2.577 2.582 2.585 2.591 2.593 2.604 2.612 2.616 2.625 2.631 2.638 2.649 2.655 2.685

Derivatives of logarithms 50

2.10 2.107 2.189 2.215 2.227 2.236 2.286 2.335 2.343 2.354 2.370 2.376 2.395 2.401 2.407 2.416 2.419 2.424 2.429 2.435 2.440 2.447 2.456 2.466 2.476 2.482 2.485 2.491 2.499 2.508 2.509 2.526 2.544 2.561 2.569 2.587 2.600 2.608 2.614 2.618 2.626 2.634 2.640 2.648 2.682 2.695 2.703 2.717 2.719 2.720

Derivatives of inverse trig functions 38

2.323 2.326 2.329 2.334 2.353 2.356 2.365 2.375 2.377 2.385 2.400 2.406 2.410 2.414 2.418 2.434 2.439 2.448 2.459 2.465 2.473 2.481 2.484 2.489 2.497 2.548 2.553 2.559 2.565 2.570 2.571 2.583 2.592 2.607 2.617 2.633 2.639 2.650

Logarithmic differentiation 39

2.321 2.324 2.327 2.331 2.338 2.344 2.355 2.357 2.366 2.371 2.378 2.380 2.386 2.396 2.402 2.408 2.420 2.425 2.461 2.470 2.477 2.486 2.490 2.494 2.502 2.510 2.516 2.519 2.527 2.547 2.549 2.554 2.562 2.581 2.597 2.602 2.620 2.635 2.651

Tangent lines 30

2.725 2.726 2.727 2.728 2.729 2.730 2.731 2.732 2.733 2.734 2.735 2.736 2.737 2.738 2.739 2.770 2.771 2.772 2.773 2.774 2.775 2.776 2.777 2.778 2.779 2.780 2.781 2.782 2.783 2.784

Second derivatives 30

2.740 2.741 2.742 2.743 2.744 2.745 2.746 2.747 2.748 2.749 2.750 2.751 2.752 2.753 2.754 2.785 2.786 2.787 2.788 2.789 2.790 2.791 2.792 2.793 2.794 2.795 2.796 2.797 2.798 2.799

Implicit differentiation 30

2.755 2.756 2.757 2.758 2.759 2.760 2.761 2.762 2.763 2.764 2.765 2.766 2.767 2.768 2.769 2.800 2.801 2.802 2.803 2.804 2.805 2.806 2.807 2.808 2.809 2.810 2.811 2.812 2.813 2.814

Related rates 30

3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 3.12 3.13 3.14 3.15 3.91 3.92 3.93 3.94 3.95 3.96 3.97 3.98 3.99 3.100 3.101 3.102 3.103 3.104 3.105

Linear approximation 30

3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.106 3.107 3.108 3.109 3.110 3.111 3.112 3.113 3.114 3.115 3.116 3.117 3.118 3.119 3.120

Critical numbers 30

3.31 3.32 3.33 3.34 3.35 3.36 3.37 3.38 3.39 3.40 3.41 3.42 3.43 3.44 3.45 3.121 3.122 3.123 3.124 3.125 3.126 3.127 3.128 3.129 3.130 3.131 3.132 3.133 3.134 3.135

Absolute extrema on a closed interval 30

3.46 3.47 3.48 3.49 3.50 3.51 3.52 3.53 3.54 3.55 3.56 3.57 3.58 3.59 3.60 3.136 3.137 3.138 3.139 3.140 3.141 3.142 3.143 3.144 3.145 3.146 3.147 3.148 3.149 3.150

Increasing, decreasing and concavity 30

3.61 3.62 3.63 3.64 3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74 3.75 3.151 3.152 3.153 3.154 3.155 3.156 3.157 3.158 3.159 3.160 3.161 3.162 3.163 3.164 3.165

Optimization 24

3.76 3.77 3.78 3.79 3.80 3.81 3.82 3.83 3.84 3.85 3.86 3.87 3.88 3.89 3.90 3.166 3.167 3.168 3.169 3.170 3.171 3.172 3.173 3.174

Definite integrals 30

4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 4.12 4.13 4.14 4.15 4.46 4.47 4.48 4.49 4.50 4.51 4.52 4.53 4.54 4.55 4.56 4.57 4.58 4.59 4.60

Fundamental Theorem of Calculus, Part 1 30

4.16 4.17 4.18 4.19 4.20 4.21 4.22 4.23 4.24 4.25 4.26 4.27 4.28 4.29 4.30 4.61 4.62 4.63 4.64 4.65 4.66 4.67 4.68 4.69 4.70 4.71 4.72 4.73 4.74 4.75

Area between curves 30

5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11 5.12 5.13 5.14 5.15 5.61 5.62 5.63 5.64 5.65 5.66 5.67 5.68 5.69 5.70 5.71 5.72 5.73 5.74 5.75

Volumes by disks and washers 18

5.16 5.17 5.18 5.19 5.20 5.21 5.22 5.23 5.24 5.25 5.26 5.27 5.28 5.29 5.30 5.76 5.77 5.93

Volumes by cylindrical shells 30

5.31 5.32 5.33 5.34 5.35 5.36 5.37 5.38 5.39 5.40 5.41 5.42 5.43 5.44 5.45 5.78 5.79 5.80 5.81 5.82 5.83 5.84 5.85 5.86 5.87 5.88 5.89 5.90 5.91 5.92

Arc length 15

5.46 5.47 5.48 5.49 5.50 5.51 5.52 5.53 5.54 5.55 5.56 5.57 5.58 5.59 5.60

Improper integrals 27

4.31 4.32 4.33 4.34 4.35 4.36 4.37 4.38 4.39 4.40 4.41 4.42 4.43 4.44 4.45 4.76 4.77 4.78 4.79 4.80 4.81 4.82 4.83 4.84 4.85 4.86 4.87

Separable differential equations 30

6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 6.10 6.11 6.12 6.13 6.14 6.15 6.46 6.47 6.48 6.49 6.50 6.51 6.52 6.53 6.54 6.55 6.56 6.57 6.58 6.59 6.60

First-order linear equations 30

6.16 6.17 6.18 6.19 6.20 6.21 6.22 6.23 6.24 6.25 6.26 6.27 6.28 6.29 6.30 6.61 6.62 6.63 6.64 6.65 6.66 6.67 6.68 6.69 6.70 6.71 6.72 6.73 6.74 6.75

Geometric series 30

7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 7.10 7.11 7.12 7.13 7.14 7.15 7.61 7.62 7.63 7.64 7.65 7.66 7.67 7.68 7.69 7.70 7.71 7.72 7.73 7.74 7.75

Series convergence tests 30

7.16 7.17 7.18 7.19 7.20 7.21 7.22 7.23 7.24 7.25 7.26 7.27 7.28 7.29 7.30 7.76 7.77 7.78 7.79 7.80 7.81 7.82 7.83 7.84 7.85 7.86 7.87 7.88 7.89 7.90

Radius of convergence 30

7.46 7.47 7.48 7.49 7.50 7.51 7.52 7.53 7.54 7.55 7.56 7.57 7.58 7.59 7.60 7.106 7.107 7.108 7.109 7.110 7.111 7.112 7.113 7.114 7.115 7.116 7.117 7.118 7.119 7.120

Taylor and Maclaurin polynomials 30

7.31 7.32 7.33 7.34 7.35 7.36 7.37 7.38 7.39 7.40 7.41 7.42 7.43 7.44 7.45 7.91 7.92 7.93 7.94 7.95 7.96 7.97 7.98 7.99 7.100 7.101 7.102 7.103 7.104 7.105

Tangent lines to parametric curves 30

8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 8.10 8.11 8.12 8.13 8.14 8.15 8.31 8.32 8.33 8.34 8.35 8.36 8.37 8.38 8.39 8.40 8.41 8.42 8.43 8.44 8.45

Area in polar coordinates 20

8.16 8.17 8.18 8.19 8.20 8.21 8.22 8.23 8.24 8.25 8.26 8.27 8.28 8.29 8.30 8.46 8.47 8.48 8.49 8.50

Dot product and angles 30

9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 9.10 9.11 9.12 9.13 9.14 9.15 9.46 9.47 9.48 9.49 9.50 9.51 9.52 9.53 9.54 9.55 9.56 9.57 9.58 9.59 9.60

Cross product 30

9.16 9.17 9.18 9.19 9.20 9.21 9.22 9.23 9.24 9.25 9.26 9.27 9.28 9.29 9.30 9.61 9.62 9.63 9.64 9.65 9.66 9.67 9.68 9.69 9.70 9.71 9.72 9.73 9.74 9.75

Equation of a plane 30

9.31 9.32 9.33 9.34 9.35 9.36 9.37 9.38 9.39 9.40 9.41 9.42 9.43 9.44 9.45 9.76 9.77 9.78 9.79 9.80 9.81 9.82 9.83 9.84 9.85 9.86 9.87 9.88 9.89 9.90

Partial derivatives 23

10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.123 10.124 10.125 10.126 10.127 10.128 10.129 10.130 10.131 10.132 10.133 10.134 10.135 10.136 10.137

Gradient and directional derivatives 30

10.9 10.10 10.11 10.12 10.13 10.14 10.15 10.16 10.17 10.18 10.19 10.20 10.21 10.22 10.23 10.69 10.70 10.71 10.72 10.73 10.74 10.75 10.76 10.77 10.78 10.79 10.80 10.81 10.82 10.83

Tangent planes 24

10.24 10.25 10.26 10.27 10.28 10.29 10.30 10.31 10.32 10.33 10.34 10.35 10.36 10.37 10.38 10.84 10.85 10.86 10.87 10.88 10.89 10.90 10.91 10.92

Local extrema and saddle points 30

10.39 10.40 10.41 10.42 10.43 10.44 10.45 10.46 10.47 10.48 10.49 10.50 10.51 10.52 10.53 10.93 10.94 10.95 10.96 10.97 10.98 10.99 10.100 10.101 10.102 10.103 10.104 10.105 10.106 10.107

Lagrange multipliers 30

10.54 10.55 10.56 10.57 10.58 10.59 10.60 10.61 10.62 10.63 10.64 10.65 10.66 10.67 10.68 10.108 10.109 10.110 10.111 10.112 10.113 10.114 10.115 10.116 10.117 10.118 10.119 10.120 10.121 10.122

Double integrals over rectangles 30

11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.10 11.11 11.12 11.13 11.14 11.15 11.58 11.59 11.60 11.61 11.62 11.63 11.64 11.65 11.66 11.67 11.68 11.69 11.70 11.71 11.72

Double integrals over general regions 30

11.16 11.17 11.18 11.19 11.20 11.21 11.22 11.23 11.24 11.25 11.26 11.27 11.28 11.29 11.30 11.73 11.74 11.75 11.76 11.77 11.78 11.79 11.80 11.81 11.82 11.83 11.84 11.85 11.86 11.87

Double integrals in polar coordinates 12

11.31 11.32 11.33 11.34 11.35 11.36 11.37 11.38 11.39 11.40 11.41 11.42

Triple integrals 30

11.43 11.44 11.45 11.46 11.47 11.48 11.49 11.50 11.51 11.52 11.53 11.54 11.55 11.56 11.57 11.88 11.89 11.90 11.91 11.92 11.93 11.94 11.95 11.96 11.97 11.98 11.99 11.100 11.101 11.102

Line integrals and work 30

12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 12.10 12.11 12.12 12.13 12.14 12.15 12.37 12.38 12.39 12.40 12.41 12.42 12.43 12.44 12.45 12.46 12.47 12.48 12.49 12.50 12.51

Green's theorem 30

12.16 12.17 12.18 12.19 12.20 12.21 12.22 12.23 12.24 12.25 12.26 12.27 12.28 12.29 12.30 12.52 12.53 12.54 12.55 12.56 12.57 12.58 12.59 12.60 12.61 12.62 12.63 12.64 12.65 12.66

Divergence and curl 21

12.31 12.32 12.33 12.34 12.35 12.36 12.67 12.68 12.69 12.70 12.71 12.72 12.73 12.74 12.75 12.76 12.77 12.78 12.79 12.80 12.81

Second-order linear equations 30

6.31 6.32 6.33 6.34 6.35 6.36 6.37 6.38 6.39 6.40 6.41 6.42 6.43 6.44 6.45 6.76 6.77 6.78 6.79 6.80 6.81 6.82 6.83 6.84 6.85 6.86 6.87 6.88 6.89 6.90