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Q#1 Calculus GATE EE 2015 MCQ +1 mark -0.33 marks

Given , where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?

If f(z) is differentiable at , then g(z) and h(z) are also differentiable at .

If g(z) and h(z) are differentiable at , then f(z) is also differentiable at .

If f(z) is continuous at , then it is differentiable at .

If f(z) is differentiable at , then so are its real and imaginary parts.

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