JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f\left( x \right) = \left( {x - 2} \right)\left( {x - 4} \right)\left( {x - 6} \right) \ldots \left( {x - 2n} \right),

then

f'\left( 2 \right)

View answer and explanation

Correct option: B

{\left( { - 2} \right)^{n - 1}}\left( {n - 1} \right)!

Option B (

{(- 2)^{n - 1}}(n - 1)!

) is correct because after differentiating the given function and evaluating at x=2, the result is

{(- 2)^{n - 1}}(n - 1)!

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