With f x <mo stretchy="false">) = <mroot> <mrow> 2 x + 7

Jace Wright

Jace Wright

Answered question

2022-05-13

With f ( x ) = 2 x + 7 3 and g ( x ) = tan ( π x 6 ), find the derivative of the compostion f(g(x)).

Answer & Explanation

Arturo Wallace

Arturo Wallace

Beginner2022-05-14Added 17 answers

Set up the composite result function.

f(g(x))

Evaluate f(tan(πx6)) by substituting in the value of g into f.

f(tan(πx6))=2(tan(πx6))+73

Multiply 2 by tan(πx6).

f(tan(πx6))=2tan(πx6)+73

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