Let f(x) be defined piecewise and has... | Applications of Derivatives | JEE Main 2022

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JEE MAIN_2022

26-07-2022_S1

Question

Let $f(x)=\left\{\begin{array}{ll}x^3-x^2+10 x-7 & , x \leq 1 \\ -2 x+\log _2\left(b^2-4\right) & , x>1\end{array}\right.$. Then the set of all values of $b$, for which $f(x)$ has maximum value at $x=1$,

Select the correct option:

A

(–6, –2)

B

(2, 6)

C

$[-6,-2) \cup(2,6]$

D

$[-\sqrt{6},-2) \cup(2, \sqrt{6}]$

✓ Correct! Well done.

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Solution

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