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CGP EDU Academic Team
Published on: August 14, 2026
A function f(x) is defined for all x > 0, and satisfies f(x 2 ) = x 3 for all x > 0. Show that f is differentiable at x = 4 and find f ′ (4).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. We have,
= 
= 
= 
= 
= 
× 4 3/2–1 
= 3
Thus, 
exists finitely and is equal to 3.
Hence, f(x) is differentiable at x = 4 and f ′ (4) = 3.
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