Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let ƒ be a function such that ƒ(x + y) = ƒ(x) + ƒ(y) for all x and y and ƒ(x) = (2x 2 + 3x) g(x) for all x where g(x) is continuous and g(0) = 3. Then ƒ ′ (x) is equal to -
Text Solution
Verified by ExpertsThe correct answer is:
A
ƒ ′ (x) = 
= 
= 
= 
= 
(2h + 3) g(h)
= (0 + 3) g(0)
= 3g (0)
= 3.3
= 9.
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