Question

The derivative of the symmetric function drawn in given figure will look like

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

If f(x) is increasing function then f'(x) > 0

If f(x) is decreasing function then f'(x) < 0

Given function f(x) is increasing in (-$\infty$,0) so corresponding f '(x) should be positive (f '(x) > 0)

and function f(x) is decreasing in (0,$\infty$) so corresponding f '(x) should be negative (f '(x) < 0) Only option (c) is satisfying.