Find the indicated derivative and simplify. Find the indicated derivative and simplify.21/xf'(x) for f(x) =X%3Dx2 - 2f'(x) =

solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power…

Answered: Find the indicated derivative and…

Math

Calculus

Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.3: The Chain Rule

Problem 6YT

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Question

Find the indicated derivative and simplify.

Expert Solution

Step 1

$s o l u t i o n : - f (x) = \frac{21 \sqrt[3]{x}}{x^{2} - 2} u \sin g Q u o t i e n t R u l e; \frac{d}{d x} (\frac{g (x)}{h (x)}) = \frac{h (x) g' (x) - g (x) h' (x)}{{h (x)}^{2}} a n d p o w e r r u l e; \frac{d}{d x} (x^{n}) = n x^{n - 1}$

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