Let f and g be Differentiable Function Satisfying g’(a) = 2, g(a) = b and f O G = I (identity Function). Then f’(b) Is Equal To

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Question

Let f and g be differentiable function satisfying g’(a) = 2, g(a) = b and f o g = I (identity function). Then f’(b) is equal to

Solution

Correct option is

1/2

 Putting x = a, we get f’(g(a)) g’(a) = 1  f’(b) = 1/2.

Testing

SIMILAR QUESTIONS

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If f’(x) is continuous at x = 0 and f’’(0) = 4, then the value of

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Suppose f is differentiable at x = 1 and

Q4

Suppose that f is a differentiable function with the property that

f(x + y) = f(x) + f(y) + xy and 

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Q8

up to n terms, then y’’(0) is equal to

Q10

,