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`f(x)` is differentiable function and `(f(x).g(x))` is differentiable at `x = a`. Then a. `g(x)` must be differentiable at `x=a` b. if `g(x)` is discontinuous, then `f(a)=0` c. if `f(a)!=0`, then `g(x)` must be differentiable d. none of these

A

g(X) must be differentiable at x=a

B

if g(X) is discontinuous , then f(a)=0

C

if `f(a) ne 0, ` then g(x) must be differentiable

D

none of these

Text Solution

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The correct Answer is:
B, C
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