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Let f(x) = phi (x) + Psi(x) and phi'(a),...

Let `f(x) = phi (x) + Psi(x) and phi'(a), Psi'(a)` are finite and definite. Then

A

f(x) is continuous at x=a

B

f(x) is differentiable on x=a

C

f'(x) is conntinuous at x=a

D

f'(x) is differentiable at x=a

Text Solution

Verified by Experts

The correct Answer is:
A, B
We know that the sum of two continuous (differentiable) function is continuous (differentiable) Therefore, f(x) is continuous and differentiable at x=a
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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Section I - Solved Mcqs
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