JEE Advanced Mathematics question

MathematicsMethods of DifferentiationsJEE Advanced

If , be differentiable functions and then is equal to

Answer: (C)

Solution

Substitute directly in the numerator:

f(1)g(x)-f(x)g(1)-f(1)+g(1)=2g(x)-2f(x)-2+2=2\{g(x)

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Question ID VK-109275