The derivate of f(sin x) w.r.t. x where f(x)=log x is: ?

Question

a. 1/sin x
b. 1/x
c. cot x
d. tan x
e. f(sin x)

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Answer 1 · 2018-02-11T16:12:59

#c#

We seek to find the derivative of

#g(x) = log(sinx) = ln(sinx)#

Using the chain rule, we get

#g'(x) = 1/sinx * cosx = cosx/sinx = cotx#

Therefore, #c# is the correct answer.

Hopefully this helps!