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Most Important Selected Qs for JEE AdvancedMathematicsDifferentiation

If f(x)=(x-1)¹⁰⁰(x-2)^ 2(99) (x-3)^ 3(98) . .(x-n)¹⁰⁰ , let k= f^ (101) f(101) , then ( k 50 -97 ) is ______

Correct answer

4

Step-by-step solution

f(x)= _ i=1 ¹⁰⁰(x-i)^ i(101-i) (f(x))= _ i=1 ¹⁰⁰ i(101-i) (x-i) 1 f(x) f^ (x)= _ i=1 ¹⁰⁰ i(101-i) (x-i)

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