Question

On which of the following intervals is the function f given by f(x)=x100+sinx-1 strictly decreasing?

(A) (0,1)

(B) (π/2,π)

(C)(0,π/2)

(D) of these

Answer 1

We have,

Thus, function f is strictly increasing in interval (π/2,π)

Hence, function f is strictly decreasing in none of the intervals.
The correct answer is D.