Find the derivatives of the functions. s(x)=ln⁡(x−8)−2)

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Find the derivatives of the functions.  s(x)=ln⁡(x−8)−2)

Yusuf Keller · Accepted Answer

s(x)=ln⁡(x−8)−2)Simpify the logarithm first, apply ln⁡an=nln⁡a, sos(x)=−2ln⁡(x−8}Diffetrentiate both sides with respect to xs′(x)=ddx[−2ln⁡(x−8)]Pull out the constants′(x)=−2ddx[ln⁡(x−8)]Apply ddx[ln|u|]=1u{dudxs′(x)=−2(1x−8)ddx[x−8]Therefore,s′(t)=−2(1x−8)(1)s′(x)=−2x−8

Find the derivatives of the functions. s(x)=ln⁡(x−8)−2)

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