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Tyrone W.

asked • 10/25/20

Chain Rule Example 5

Given the following functions: $f(u)=\tan(u)$ and $g(x)=x^{4}$ . Find:

f(g(x))=

f'(u)=

f'(g(x))=

g'(x)=

$(f\circ g)'(x)=$

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1 Expert Answer

By:

Patrick B. answered • 10/25/20

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f comp g = tan x^4

f' = sec^2

f' comp g = sec^2 (x^4)

g' = 4x^3

(f comp g) ' = (tan x^4)'

= sec^2(x^4) (4x^3)

by chain rule

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Tyrone W.

First two are incorrect, and the other three are correct

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10/25/20

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