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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- If (x^2+y^2)^2=x y , find (dy)/(dx)
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- tan^(-1)(x^(2)+y^(2)) = a
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- Find (dy)/(dx) in each of the following: e^(x-y)=log(x/y)
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- Find (dy)/(dx) if, sinx y+cos(x+y)=1
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- If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y), prove that (dy)/(dx)= sqrt((1-y^2...
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- If ysqrt(1-x^2)+xsqrt(1-y^2)=1 show that (dy)/(dx)=-sqrt((1-y^2)/(1-x...
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- If x y=1 , prove that (dy)/(dx)+y^2=0 .
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- If x y^2=1 , prove that 2(dy)/(dx)+y^3=0
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- If xsqrt(1+y)+ysqrt(1+x)=0, prove that (dy)/(dx)=-1/((x+1)^2)
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- If logsqrt(x^2+y^2)=tan^-1(y/x),then dy/dx is
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- If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .
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- If tan^(-1)((x^2-y^2)/(x^2+y^2))=a , prove that (dy)/(dx)=x/y((1-tana)...
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- If x y\ log(x+y)=1, prove that (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))...
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- If y=xsin(a+y) , prove that (dy)/(dx)=(sin ^ 2(a+y))/(sin(a+y)-y\ co...
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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 y=xsiny , prove that (dy)/(dx)=(siny)/((1-xcosy))
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- If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),s howt h a t(x^2+1)(dy)/(dx)+x y+1=...
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- sin(xy) + (x)/(y) = x^(2) - y
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- If tan(x+y)+tan(x-y)=1 , find (dy)/(dx) .
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- If e^x+e^y=e^(x+y),p rov et h a t (dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1...
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