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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- Differentiate the following function with respect to x:sin(x^x)
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- Differentiate the following function with respect to x : (logx)^(logx)
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- Differentiate the following function with respect to x: 10^(logsin...
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- If y=logsqrt((1+tanx)/(1-tanx)),"Prove that " (dy)/(dx)=sec2x
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- If y=log(sqrt(x)+sqrt(1/x)), prove that (dy)/(dx)=(x-1)/(2x(x+1))
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- If y=x/(x+2) , prove that x(dy)/(dx)=(1-y)y
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- Find (dy)/(dx), y=(sinx)^(cosx)+(cosx)^(sinx)
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- If y=(x-1)log(x-1)-(x+1)log(x+1), prove : (dy)/(dx)=log((x-1)/(1+x))
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- 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 tan^2x
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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,p rov et h a t2(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: 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," prove that "(dy)/(dx)= - sqrt((1-y^2)...
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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){...
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- If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .
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