Question

The derivative of y=(1-x)(2-x)..(n-x) at x=1
(a) o (b) (-1)(n-1) (c) n!-1 (d)(-1)^(n-1) (n-1)!​

Answer 1

Answer:

c option is correct

Step-by-step explanation:

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Answer 2

Answer I hope you understand the answer

M

Step-by-step explanation:

Correct option is

B

(−1)(n−1)!

y=(1−x)(2−x)(3−x)...(n−x)

Differentiating both sides w.r.t. x we have,

dx

dy

​

=[−(2−x)(3−x)(4−x)...(n−x)]+[−(1−x)(3−x)(4−x)...(n−x)]+...+[(1−x)(2−x)(3−x)...(n−1−x)]

At x=1

dx

dy

​

=−1×2×3×...×(n−1)=−1(n−1)!