If $y=\log _{e^x}(x-2)^2$ for $x \neq 0,2$, then $y^{\prime}(3)$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y=\log _{e^x}(x-2)^2

for

x \neq 0,2

, then

y^{\prime}(3)

is equal to

View answer and explanation

Correct option: B

2 / 3

Option B (2/3) is correct because after applying the logarithmic and derivative rules, substituting x=3 gives 2/3.

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