Calculate the derivatives of the functions. f(x)=(4x-1)^{-1}f(x)=(x+7)^{-2}

Falak Kinney 2021-05-03 Answered
Calculate the derivatives of the functions.
f(x)=(4x1)1f(x)=(x+7)2
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Expert Answer

Caren
Answered 2021-05-04 Author has 96 answers
f(x)=(x+7)2
Differentiate both sides with respect to x
f(x)=ddx[(x+7)2]
Apply The Generalized Power Rule ddx[un]=νn1dudx, let u=x+7
f(x)=2(x+7)21ddx[x+7]
Therefore,
f(x)=2(x+7)3(1)
Simplify
f(x)=2x+73
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