Differentiation Question 294

Question: Given that $ \frac{d}{dx}f(x)=f’(x) $ . The relationship $ f’(a+b)=f’(a)+f’(b) $ is valid if $ f(x) $ is equal to

[AMU 2000]

Options:

A) $ x $

B) $ x^{2} $

C) $ x^{3} $

D) $ x^{4} $

Show Answer

Answer:

Correct Answer: B

Solution:

Trick: By option , $ 2(a+b)=2a+2b $ .