`f(x) = 4x^(3/2)` Find the second derivative of the function.

Textbook Question

Chapter 2, 2.3 - Problem 93 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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

Now, 

`f(x) = 4x^(3/2)`

`f'(x) = 4*(3/2)*x^(1/2)`

`or, f'(x) = 6*x^(1/2)`

`f''(x) = 6*(1/2)*x^(-1/2)`

`or, f''(x) = 3*x^(-1/2)`

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