Derivative of \( \displaystyle \frac{3 \sin{\left(2 x \right)}}{2} \)

Problem 2.224 · medium

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