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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
- If y=x^x^x^ddot^((((oo)))), (dy)/(dx)
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- If y=x^(tanx)+sqrt((x^2+1)/2),find(dy)/(dx)
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- If x^y=y^x ,then find (dy)/(dx)
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- If (sin"x")^y=(cos"y")^x ,p rov et h a t(dy)/(dx)=(logcosy-ycotx)/(log...
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- If y^(x)=e^(y-x), then prove that (dy)/(dx) = ((1+logy)^(2))/(logy)
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- If y=(a x^2)/((x-a)(x-b)(x-c))+(b x)/((x-b)(x-c))+c/(x-c)+1 find dy/dx
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- If x=e^(x/y),prove that (dy)/(dx)=(x-y)/(xlogx)
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- If y=xsiny ,prove that (dy)/(dx)=y/(x(1-xcosy)
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- If x ylog(x+y)=1,p rov et h a t(dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))
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- If (sin"x")^y=x+y ,p rov et h a t(dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsin...
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- Differentiate: (logx)^x+x^(logx) w i t h respect to x
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- Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3)) with respec...
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- Differentiate the following functions with respect to x : (cos"x")^x ...
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- Differentiate the following functions with respect to x : (i) (x^x...
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- If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...
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- If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1...
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- If y=cos^(-1)sqrt((cos3x)/(cos^3x)),t h e ns howt h a t(dy)/(dx)=sqrt...
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- If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2...
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- if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...
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- If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot
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