What is the derivative of #sin^2 (5x)#?
f'(x) = (10sin(5x))(cos(5x))
1: Bring the square (2) outside of the brackets of the whole term.
2: Use chain rule by bringing the square to the front of the term and subtracting 1 from 2 outside of the brackets.
3: Determine the derivative of the term on the inside, sin(5x) and multiply it to the rest of the function.
*The derivative of sin(5x) is 5cos(5x). Bring your k value (5) to the front and leave the original the same.
4: Simplify. Multiply