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rabbitz42z8

Answered question

2021-12-05

Find the first and second derivatives of the given function.

f (x) = 8 x^{3} - 5 x^{2} + 7

Answer & Explanation

Novembruuo

Beginner2021-12-06Added 26 answers

Step 1
Given:
Function:

8 x^{3} - 5 x^{2} + 7

The first derivative of the function is,

f^{'} (x) = \frac{d}{d x} (8 x^{3} - 5 x^{2} + 7)

= 24 x^{2} - 10 x

Thus,

f^{'} (x) = 24 x^{2} - 10 x

Step 2
The second derivative of the function is,

f^{″} (x) = \frac{d}{d x} (f^{'} (x))

= \frac{d}{d x} (24 x^{2} - 10 x)

=48x-10
Thus,
f''(x)=48x-10

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