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the derivative of `y=(1-x)(2-x)..........(n-x)` at `x=1` is equal toA. `0`B. `(-1)(n-1)!`C. `n!-1`D. `(-1)^(n-1)(n-1)!` |
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Answer» Correct Answer - B `(dy)/(dx)=[(2-x)(3-x)…(n-x)+(1-x)(3-x)…….` `(n-x)……_(1-x)(2-x)…..(n-1-x)]` At `x=1, (dy)/(dx)=-[(n-1)!+0+0+…….+0]` `(dy)/(dx)=(-1)(n-1)!` |
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