`g(t) = -8t^3 - 5t + 12` Find the second derivative of the function.

Textbook Question

Chapter 2, Review - Problem 45 - 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 = x^n ; where n = constant ; then dy/dx = n*x^(n-1)

Now,

`g(t) = -8t^3 -5t + 12`

`g'(t) = -8*3*t^2 - 5 + 0`

`or, g'(t) = -24t^2 - 5`

`Thus, g''(t) = -24*2*t^1 - 0`

`or, g''(t) = -48t`

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