`y = (sin(x))^2` Find the second derivative of the function.

Textbook Question

Chapter 2, Review - Problem 74 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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Note:- If y = sinx ; then dy/dx = cosx

If y = cosx ; then dy/dx = -sinx

2sinx*cosx = sin(2x)

Now, 

`y = (sinx)^2`

`or, y = sin^2x`

differentiating

`y' = 2sinx*cosx`

`or,y' = sin(2x)`

differentiating

`y'' = 2cos(2x)`

` `

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