Published by:
CGP EDU Academic Team
Published on: August 14, 2026
(i) If f(x) = 5 g(x) and g(x) = 
dt, then find the value of f ′ ( 
).
(ii) The value of 
(iii) Find the slope of the tangent to the curve 
at 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 
(ii)12 (iii) 
Sol. (i) f ′ (x) = 5 g(x) n5 g ′ (x)
Now g ′ (x) = 
∴ f ′ (x) = 5 g(x) n5 
⇒ f ′ ( 
) = 
n5 
= 4 
{ since g( 
) = 0}
(ii) 
= 
= 3.2.2 = 12
(iii)given curve is y = 
; 
= 
using Leibnitz theorem,
= 
= 
= 
= 
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