Derivative of \( \displaystyle \frac{\cos{\left(4 x - 3 \right)}}{4} \)

Problem 2.241 · medium

1. \[ \frac{d}{d x} \frac{\cos{\left(4 x - 3 \right)}}{4} \]
   derivativeStart with the derivative of the function.✓ Proved
2. \[ = \frac{\frac{d}{d x} \cos{\left(4 x - 3 \right)}}{4} \]
   constantPull out the constant factor 1/4.✓ Proved
3. \[ = - \frac{\sin{\left(4 x - 3 \right)} \frac{d}{d x} \left(4 x - 3\right)}{4} \]
   chainApply the chain rule to the cosine function.✓ Proved
4. \[ = - \sin{\left(4 x - 3 \right)} \]
   derivative algebraDifferentiate the inner function 4*x - 3. Simplify the expression by multiplying the constants.✓ Proved