Find the derivatives of the functions. s(x)=\ln(x-8)^{-2})

djeljenike

djeljenike

Answered question

2021-05-18

Find the derivatives of the functions.
s(x)=ln(x8)2)

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-05-19Added 90 answers

s(x)=ln(x8)2)
Simpify the logarithm first, apply lnan=nlna, so
s(x)=2ln(x8}
Diffetrentiate both sides with respect to x
s(x)=ddx[2ln(x8)]
Pull out the constant
s(x)=2ddx[ln(x8)]Apply ddx[ln|u|]=1u{dudx
s(x)=2(1x8)ddx[x8]
Therefore,
s(t)=2(1x8)(1)
s(x)=2x8

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