. Let f and g be differentiable functions satisfying g'(a) = 2, g(a) = b, and fog = 1 (identity function). Then f'(b) is equal to
A. 0 B. 2/3 C. 1/2 D. none of the above
Manvendra Singh chahar , 11 Years ago
Grade Upto college level
2 Answers
Saurabh Koranglekar
Last Activity: 4 Years ago
Dear student
The answer is option c
Regards
Vikas TU
Last Activity: 4 Years ago
fog x = f(g(x)) f'(g(x)) * g'(x) = 1 f'(g(x)) = 1/g'(x) g(x) = b , x = a f'(b) = 1/g'(a) = 1/2
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