Question

f(x)=cosx/sinx+2 x ∈ [0,2π],Find the maximum and minimum value of the given function.

Answer 1

Dear Student:

F(x)=cosx/sinx+2 ,x ∈ [0,2π]

For,maximum and minimum  

We will find df/dx and then equate to zero.

And then again proceed for second derivative and see it is negative or positive.

If it is positive then f will be minimum

And if negative then f maximum

See the attachment: