Calculate the derivatives of the functions.

$f\left(x\right)={(4x-1)}^{-1}f\left(x\right)={(x+7)}^{-2}$

Falak Kinney
2021-05-03
Answered

Calculate the derivatives of the functions.

$f\left(x\right)={(4x-1)}^{-1}f\left(x\right)={(x+7)}^{-2}$

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Caren

Answered 2021-05-04
Author has **96** answers

Differentiate both sides with respect to x

Apply The Generalized Power Rule

Therefore,

Simplify

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What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in calculating partial derivatives of second and higher orders? Give examples.

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Use the given graph to estimate the value of each derivative.(Round all answers to one decimal place.)Graph uploaded below.

(a) f ' (0)1

(b) f ' (1)2

(c) f ' (2)3

(d) f ' (3)4

(e) f ' (4)5

(f) f ' (5)6

(a) f ' (0)1

(b) f ' (1)2

(c) f ' (2)3

(d) f ' (3)4

(e) f ' (4)5

(f) f ' (5)6

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