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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
- If y=(e^x-e^(-x))/(e^x+e^(-x)) , prove that (dy)/(dx)=1-y^2
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- If y=(xsin^(-1)x)/(sqrt(1-x^2)),"p r o v et h a t"(1-x^2)(dy)/(dx)=x+...
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- Differentiate the following function tan2x
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- If x^ydoty^x=1,p rov et h a t(dy)/(dx)=-(y(y+xlogy)/(x(ylogx+x)
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- If x y^2=1," "prove that 2(dy)/(dx)+y^3=0
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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) in each of the following: sin (x + y) + cos (x + y) =...
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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,"p r o v et h a t"(dy)/(dx)=sqrt((1-y^...
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- Differentiate the following function with respect to x : cos^-1s...
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- Differentiate the following function with respect to x : cos^(-1){2...
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- If sec((x+y)/(x-y))=a,p rov et h a t(dy)/(dx)=y/xdot
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- Differentiate the following function with respect to x : sin^(-1...
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- Differentiate the following function with respect to x : tan^(-1...
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- If x=sin^(-1)((2t)/(1+t^2))"and"y=tan^(-1)((2t)/(1-t^2)),-1<t<1, "p="...
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- If x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot
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- Find (dy)/(dx), when x=cos^(-1)1/(sqrt(1+t^2))"and"y=sin^(-1)t/(sqrt(1...
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- If .
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- If x=2costheta-cos2theta"and"y=2sintheta-sin2theta"P r o v et h a t" ...
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- If x=cost"and"y=sint ,"p r o v et h a t"(dy)/(dx)=1/(sqrt(3))"at"t=(2...
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