# Find the derivative of

Question
Derivatives
Find the derivative of $$=5\ln(\sin+8).$$

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
$$\frac{d}{dt}(5\ln(t)+8))=\frac{5\cos(t)}{\sin(t)+8}$$

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