Question

The function f(x) = sin x + 2x is ______ 

Options

• Always increasing

• Always decreasing

• Increasing for a certain range of x

• None of these

Answer 1

The function f(x) = sin x + 2x is Always increasing.

Explanation: 

f(x) = sin x + 2x ⇒ f'(x) = cos x + 2

f'(x) > 0 for all values of x.

∴ f(x) is always increasing.