f(x) = 4 loge(x − 1) − 2x²... | JEE Main 2022

JEE MAIN 2022

24-06-2022 S1

Question

$f(x)=4 \log _e(x-1)-2 x^2+4 x+5, x>1$, which one of the following is NOT correct?

Select the correct option:

$f$ is increasing in $(1,2)$ and decreasing in $(2, \infty)$

f(x)= –1 has exactly two solutions

f ’(e) –f ’ (2) < 0

f(x) = 0 has a root in the interval (e, e +1)

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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