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CGP EDU Academic Team
Published on: August 13, 2026
Let f and g be differentiable function such that f ′ (x) = 2g(x) and g ′ (x) = –f(x), and let T(x) = (f(x)) 2 – (g (x)) 2 .
Then T ′ (x) is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
T ′ (x) = 2(f(x) f ′ (x) – g(x) g ′ (x))
= 2(2g(x) f(x) + f(x) g(x))
= 6f(x) g(x)
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