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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- 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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- If cosy=xcos(a+y) , with cosa!=+-1 , prove that (dy)/(dx)=(cos^2(a+y))...
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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 ,show that (dy)/(dx)=y/x-sqrt((y^2)/(x^2)...
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- Differentiate the following function with respect to x : x^x
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- Differentiate (sinx)^(logx) with respect to x :
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- Differentiate (cosx)^x with respect to x :
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- Differentiate x^(sqrt(x)) with respect to x :
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- Differentiate (logx)^(sinx) with respect to x :
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- (sinx)^(cosx)
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- Differentiate x^cos(x) with respect to x :
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- Differentiate (sinx)^cosx with respect to x :
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- Differentiate x^(x^x) with respect to x :
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- Differentiate (x^x)^x with respect to x :
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- If y=(sinx)^(tanx)+(cosx)^(secx) , find (dy)/(dx)
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- Differentiate: (logx)^x+x^(logx) with respect to xdot
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