Application Of Derivatives Question 6
Question 6 - 2024 (30 Jan Shift 2)
Let $f(x)=(x+3)^{2}(x-2)^{3}, x \in[-4,4]$. If $M$ and $m$ are the maximum and minimum values of $f$, respectively in $[-4,4]$, then the value of $M-m$ is :
(1) 600
(2) 392
(3) 608
(4) 108
Show Answer
Answer (3)
Solution
$f(-4)=-216$
$f(-3)=0, f(4)=49 \times 8=392$
$M=392, m=-216$
$M-m=392+216=608$
Ans $=$ ’ 3 '
