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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a , prove that (dy)/(dx)=y/xd...
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- If siny=xsin(a+y), prove that (dy)/(dx)= (sin^2(a+y))/(sina) .
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- If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),prove that (dy)/(dx)=(x^2)/(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)=1...
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- If y=btan^(-1)(x/a+"tan"^(-1)y/x),find(dy)/(dx)dot
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- If y=cos^(-1)sqrt((cos3x)/(cos^3x)),then show (dy)/(dx)=sqrt(3/(cosx...
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- If x y=c^2 , find (dy)/(dx)
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- If y^3-3x y^2=x^3+3x^2\ y , find (dy)/(dx)
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- If x^(2//3)+y^(2//3)=a^(2//3) , find (dy)/(dx)
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- If 4x+3y=log(4x-3y) , find (dy)/(dx)
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- If (x^2)/(a^2)+(y^2)/(b^2)=1 , find (dy)/(dx)
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- If x^5+y^5=5\ x y , find (dy)/(dx)
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- If (x+y)^2=2a x y , find (dy)/(dx)
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- 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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