Differentiation Question 316

Question: The derivative of $ f(x)=3|2+x| $ at the point $ x_0=-3 $ is

[Orissa JEE 2002]

Options:

A) 3

B) - 3

C) 0

D) Does not exist

Show Answer

Answer:

Correct Answer: B

Solution:

$ f(x)=3|2+x| $ ; $ {f}’(x)=-3 $ , $ [ \because |x|= \begin{cases} -x,x<0 \\ x,x>0 \\ \end{cases} . ] $ .