Electrical Engineering > GATE 2015 SET-2 > Complex Variables
Given f(z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?
A
If f(z) is differentiable at z0, then g(z) and h(z) are also differentiable at z0.
B
If g(z) and h(z) are differentiable at z0, then f(z) is also differentiable at z0.
C
If f(z) is continuous at z0, then it is differentiable at z0.
D
If f(z) is differentiable at z0, then so are its real and imaginary parts.

Correct : b

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