Derivative of \( \displaystyle \frac{e^{4 x + 2}}{4} \)

Problem 2.73 · medium

1. \[ \frac{d}{d x} \frac{e^{4 x + 2}}{4} \]
   derivativeStart with the derivative of the function.✓ Proved
2. \[ = \frac{\frac{d}{d x} e^{4 x + 2}}{4} \]
   constantPull out the constant factor 1/4.✓ Proved
3. \[ = \frac{e^{4 x + 2} \frac{d}{d x} \left(4 x + 2\right)}{4} \]
   chainApply the chain rule to the exponential function.✓ Proved
4. \[ = e^{4 x + 2} \]
   derivative algebraDifferentiate the inner function 4*x + 2. Simplify by multiplying the constant 1/4 and 4.✓ Proved