Find the derivative of (f*g)(x), where f ( x ) = cos ⁡ ( π x 5 ) and g ( x ) = 2 x 2 + 7.

Set up the composite result function.f(g(x))Evaluate&nbsp;f(2x2+7)&nbsp;by substituting in the value of&nbsp;g&nbsp;into&nbsp;f.f(2x2+7)=cos(π(2x2+7)5)

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Thaddeus Sanders

Answered question

2022-05-12

Find the derivative of (f*g)(x), where

f (x) = \cos (\frac{π x}{5})

and

g (x) = 2 x^{2} + 7

Answer & Explanation

nelppeazy9v3ie

Beginner2022-05-13Added 22 answers

Set up the composite result function.

$f (g (x))$

Evaluate $f (2 x^{2} + 7)$ by substituting in the value of $g$ into $f$ .

$f (2 x^{2} + 7) = \cos (\frac{π (2 x^{2} + 7)}{5})$

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