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

Mylo O'Moore

Mylo O'Moore

Answered question

2021-06-20

Calculate the derivatives of the functions.
f(x)=(4x1)1

Answer & Explanation

Clelioo

Clelioo

Skilled2021-06-21Added 88 answers

f(x)=4x1)1 Differentiale both sides with respect to x
f(x)=ddx[(4x1)1]
Apply the Generalized Power Rule ddx[un]=νn1dudx,

let u=4x1
f(x)=(4x1)11ddx[4x1]
Therefore,
f(x)=(4x1)2(4)
Simplify
f(x)=4(4x1)2

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