The derivative of y -1- x 2- x - n - x at x -1 isA- 0B- - n -1 -C- n -1D- -1n-1 n -1 -

The correct option is B (n 1)!y = (1 − x)(2 − x) ... (n − x) ⇒dydx = [(2 − x) ... (n − x)+(1 − x)(3 x) ... (n − x) +...(1 x)(2 − x) .. ...

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Product Rule of Differentiation

The derivativ...

Question

The derivative of $y = (1 - x) (2 - x) . . . (n - x)$ at $x = 1$ is

0

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- (n - 1)!

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n! - 1

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

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