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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
- If y=10^(x) and z=100^(x/2) then find d/dx(y^(2)/z).
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- What is the derivative of cos (sin^(-1)x) w.r.t cos^(-1)x?
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- What is the derivative of cosec^(-1) x w.r.t x when |x|>1.
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- Find (dy)/(dx)when y = log|x|.
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- Find (dy)/(dx) att = 1/2 when x = (at^2), y=2at.
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- Find d/(dx) In sin^(-1)cos((pi-2e^x)/2).
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- If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)), then prove that (dy)/(dx)...
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- If (tan^(-1)x)^y + y^(cotx) =1then find (dy)/(dx).
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- If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2.
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- If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...
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- If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).
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- If x=2cos theta-cos 2theta and y=2sin theta-sin 2 theta, then prove th...
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- Differentiate the following function w.r.t. x, (logx)^(x)+x^(logx).
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- If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...
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- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)
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- Find dy/dx if x^m y^n = (x/y)^(m+n)
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- Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))
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- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- IF x^y=e^(x-y) then show that (dy)/(dx)=(logx)/[log(xe)]^2.
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