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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If y=(1+x)(1+x2)(1+x4)…(1+x2n)y=(1+x)\left(1+x^2\right)\left(1+x^4\right) \ldots \left(1+x^{2^n}\right) then dydx\frac{d y}{d x} at x=0x=0 is-
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Correct option: A
1
Option A (1) is correct because after multiplying by (1-x) and simplifying, the derivative at x=0 is found to be 1.

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