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Alaina Holt

Answered question

2022-05-12

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

f (x) = 5 x^{2} + 4

and

g (x) = 7 x^{4} + 4 x^{3} + 5 x^{2}

verrainellewtzri

Beginner2022-05-13Added 12 answers

Set up the composite result function.

$f (g (x))$

Evaluate $f (7 x^{4} + 4 x^{3} + 5 x^{2})$ by substituting in the value of $g$ into $f$ .

$f (7 x^{4} + 4 x^{3} + 5 x^{2}) = 5 {(7 x^{4} + 4 x^{3} + 5 x^{2})}^{2} + 4$

Simplify each term.

$f (7 x^{4} + 4 x^{3} + 5 x^{2}) = 245 x^{8} + 280 x^{7} + 430 x^{6} + 200 x^{5} + 125 x^{4} + 4$

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