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Merati4tmjn

Merati4tmjn

Answered question

2022-05-13

Find the derivative of (f*g)(x), where f ( x ) = ln ( 7 x + 3 ) and g ( x ) = x 4 + x 3 + x 2 + 2 x + 6.

Answer & Explanation

Marco Meyer

Marco Meyer

Beginner2022-05-14Added 16 answers

Set up the composite result function.

f(g(x))

Evaluate f(x4+x3+x2+2x+6) by substituting in the value of g into f.

f(x4+x3+x2+2x+6)=ln(7(x4+x3+x2+2x+6)+3)

Simplify each term.

f(x4+x3+x2+2x+6)=ln(7x4+7x3+7x2+14x+42+3)

Add 42 and 3.

f(x4+x3+x2+2x+6)=ln(7x4+7x3+7x2+14x+45)

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