Question

f:(0,π)—>R, f(x)=sinx+cosx,Determine the intervals in which F is increasing and the intervals in which F is decresing.

Answer 1

Dear student:

Given:F:(0,π)—>R

f(x)= sinx+cosx

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.