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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)...
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- Let y=ln(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...
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- Find (dy)/(dx)"for"y=xsinxlogxdot
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- 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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- Differentiate y=(e^x)/(1+sinx)
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- Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...
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- lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0
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- If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...
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- If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :
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- f(x)=e^(-1/x),w h e r ex >0, Let for each positive integer n ,Pn be th...
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- If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...
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- 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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- If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot
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- Let f(x)a n dg(x) be two function having finite nonzero third-order de...
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- Differentiate log sinx w.r.t. sqrt(cosx).
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- If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x , then find the valu...
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- Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x
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- If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...
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- Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...
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- If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...
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