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If both f(x) & g(x) are differentiable ...

If both `f(x) & g(x)` are differentiable functions at `x=x_0`then the function defiend as `h(x)`=Maximum`{f(x), g(x)}`

A

is always differentiable at `x = x_(0)`

B

is never differentiable at `x = x_(0)`

C

is differentiable at `x = x_(0)` when `f(x_(0)) ne g(x_(0))`

D

cannot be differentiable at `x = x_(0)`, if `f(x_(0)) = g(x_(0))`

Text Solution

Verified by Experts

The correct Answer is:
C
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