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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- If x^x+y^x=1 , prove that (dy)/(dx)=-{(x^x(1+logx)+y^x. logy)/(x . y^(...
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- If x^y. y^x=1 , prove that (dy)/(dx)=-(y(y+xlogy))/(x(ylogx+x))
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- If y^x+x^y=(x+y)^(x+y) find dy/dx
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- If x^m\ y^n=1 , prove that (dy)/(dx)=-(m y)/(n x)
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- If y^x=e^(y-x) , prove that (dy)/(dx)=((1+logy)^2)/(logy)
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- If (sinx)^y=(cosy)^x , prove that (dy)/(dx)=(logcosy-ycotx)/(logsinx+x...
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- If (cosx)^y=(tany)^x , prove that (dy)/(dx)=(logtany+ytanx)/(logcosx-x...
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- If e^x+e^y=e^(x+y) , prove that (dy)/(dx)+e^(y-x)=0
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- If e^y=y^x , prove that (dy)/(dx)=((logy)^2)/(logy-1)
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- If e^(x+y)-x=0 , prove that (dy)/(dx)=(1-x)/x
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- If y=xsin(a+y) , prove that (dy)/(dx)=(s in^2(a+y))/(sin(a+y)-y cos\ (...
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- If xsin(a+y)+sinacos(a+y)=0 , prove that (dy)/(dx)=(s in^2(a+y))/(sina...
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- If (sinx)^y=x+y , prove that (dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsinx-1)
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- If (x-y) \ e^(x/(x-y))=a , prove that y(dy)/(dx)+x=2y .
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- If y=xsiny , prove that (dy)/(dx)=y/(x(1-xcosy))
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- Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^2)...
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- If y=log((x^2+x+1)/(x^2-x+1))+2/(sqrt(3))t a n^(-1)((sqrt(3)x)/(1-x^2)...
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- If y=(sinx-cosx)^(sinx-cosx) ,pi/4 ltxlt (3pi)/ 4 find dy/dx
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- If x y=e^(x-y) , find (dy)/(dx) .
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- If y^x+x^y+x^x=a^b , find (dy)/(dx) .
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