Find the derivative of

Question
Derivatives
asked 2020-12-02
Find the derivative of \(=5\ln(\sin+8).\)

Answers (1)

2020-12-03
We have to find
\((\frac{d}{dt})(5\ln(\sin(t)+8))\)
Note that
\((\frac{d}{dt})(5\ln(\sin(t)+8))=5\frac{d}{dt}(\ln(\sin(t)+8)) [∵(c⋅f) ]\)
\(=5\frac{d}{dt}(\ln u), =5\frac{d}{dt}(\ln (u))(\frac{d}{dt})(\sin(t)+8) =5*(\frac{1}{u})\cos(t) =\frac{5\cos(t)}{\sin(t)+8}/\)
Hence we get
\(\frac{d}{dt}(5\ln(t)+8))=\frac{5\cos(t)}{\sin(t)+8}\)
0

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