Question

Find the derivative of y=log e sin x

Answer 1

Answer:

Since derivative of log x is 1/x and derivative of sin x is cos x. Therefore, 1/sin x*cos x is the derivative of given function. This can be further written as cot x.

Answer 2

Answer:

ans is cot x

Explanation:

y=loge sinx

dy/dx= d ( loge sin x)/dx

FOLLOWING THE DOUBLE CHAIN RULE:

dy/dx= 1/sinx *d(sin x )/dx      [since d( loge x) /dx = 1/x]

= 1/sin x * cos x           [since d(sinx)/dx= cos x]

cosx / sinx = cotx

therefore  dy/dx = cot x

pls mark brainliest