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If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^...

If `y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !),` show that `(dy)/(dx)-y+(x^n)/(n !)=0.`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  5. Find (dy)/(dx)"for"y=xsinxlogxdot

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  6. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

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  7. Differentiate y=(e^x)/(1+sinx)

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  8. Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...

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  9. If y=sqrt((1-x)/(1+x)), prove that (1-x^2)dy/(dx)+y=0

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  14. If d/(dx)[(x^m-A1x^(m-1)+A2x^(m-2)-.......+(-1)^m Am)e^x]=x^m e^x , f...

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  15. If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)

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  16. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

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