With f ( x ) = cos ⁡ ( π x 3 ) and g ( x ) = 7 x 3 + 5, find the derivative of the compostion f(g(x)).

Set up the composite result function.f(g(x))Evaluate&nbsp;f(7x3+5)&nbsp;by substituting in the value of&nbsp;g&nbsp;into&nbsp;f.f(7x3+5)=cos(π(7x3+5)3)

Get the solution to "With f ( x ) = cos ⁡..."

Logan Lamb

Answered question

2022-04-10

With

f (x) = \cos (\frac{π x}{3})

and

g (x) = 7 x^{3} + 5

, find the derivative of the compostion f(g(x)).

Answer & Explanation

Maeve Holloway

Beginner2022-04-11Added 25 answers

Set up the composite result function.

$f (g (x))$

Evaluate $f (7 x^{3} + 5)$ by substituting in the value of $g$ into $f$ .

$f (7 x^{3} + 5) = \cos (\frac{π (7 x^{3} + 5)}{3})$

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