Differentiation Question 32

Question: For the function $ f(x)=x^{2}-6x+8,2\le x\le 4 $ , the value of x for which $ f’(x) $ vanishes, is

[MP PET 1996]

Options:

A) $ \frac{9}{4} $

B) $ \frac{5}{2} $

C) 3

D) $ \frac{7}{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ f’(x)=2x-6=0\Rightarrow x=3 $ .