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the derivative of y=(1-x)(2-x).............

the derivative of `y=(1-x)(2-x)..........(n-x)` at `x=1` is equal to

A

0

B

`(-1) (n-1)!`

C

`n!-1`

D

`(-1)^(n-1)(n-1)!`

Text Solution

AI Generated Solution

To find the derivative of the function \( y = (1-x)(2-x)(3-x)\cdots(n-x) \) at \( x = 1 \), we will follow these steps: ### Step 1: Write the function The function is given as: \[ y = (1-x)(2-x)(3-x)\cdots(n-x) \] ...
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CENGAGE ENGLISH-DIFFERENTIATION-Execrises
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