Question

F:(0,π )—>R, f(x)=2x+cotx,Determine intervals in which the given function are strictly increasing or strictly decreasing.

Answer 1

Dear student:

Given: F:(0,π )—>R,

f(x)=2x+cotx

For determining the intervals in which f is increasing and decreasing.

Find derivative of f(x)

Then see the derivative in which f is positive and negative.

If it is positive then f is increasing

And if it is negative then f is decreasing.

See the attachment.