Find the first and second derivatives of the given function.

$f\left(x\right)=5{x}^{3}-6{x}^{2}+6$

Krzychau1
2021-12-16
Answered

Find the first and second derivatives of the given function.

$f\left(x\right)=5{x}^{3}-6{x}^{2}+6$

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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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Where the initial conditions are:

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Where the initial conditions are:

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