`h(x) = sin(2x)cos(2x)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 49 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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Note:- 1) 2sin(ax)*cos(ax) = sin2(ax)

2) If y = sinx ; then dy/dx = cosx

Now, 

`h(x) = sin(2x)*cos(2x)`

`or, h(x) = (1/2)*sin(4x)`

`thus, h'(x) = (4/2)cos(4x)`

`or, h'(x) = 2cos(4x)`

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