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

Textbook Question

Chapter 2, 2.4 - Problem 89 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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Note:- 1) If y = sinx ; then dy/dx = cosx

2) If y = x^n ; where n = constant ; then dy/dx = n*x^(n-1)

Now, 

`f(x) = sin(x^2)`

`f'(x) = 2x*cos(x^2)`

`f''(x) = 2*cos(x^2) - 4(x^2)*sin(x^2)`

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