Let f(x) = e^x - e^ -x + cosx, then f(x) is - Vidyadip

MCQ

Let $f(x) = e^x - e^{-x} + cosx$, then $f(x)$ is

✓
always increasing
B
always decreasing
C
non differentiable at $x = 0$
D
local maxima at $x = 1.$

✓

Answer

Correct option: A.

always increasing

a
$f'(x) = (e^x - e^{-x}) - sinx$
alwasys positive and three an increasing function.

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