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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- Differentiate the following function from first principles: e^(sqrt...
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- Differentiate the following function sqrt((a^2-x^2)/(a^2+x^2))
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- Differentiate the functions 3^(xlogx) with respect to x
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- Differentiate the following function from first principles: x^2e^x
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- Differentiate the function (logsinx)^2 with respect to x
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- If a>0, x=(t+1/t)^a ,y=a^(t+1/t),"find " (dy)/(dx)
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- If x=a((1+t^2)/(1-t^2))"and"y=(2t)/(1-t^2),"f i n d"(dy)/(dx)
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- If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), show that at pi/4,(dy)/...
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- If x=(1+logt)/(t^2),y=(3+2logt)/t ,"f i n d"(dy)/(dx)dot
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- If x=3sint-sin3t ,y=3cos t-cos3t ,"find "(dy)/(dx)" at "t=pi/3dot
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- If sinx=(2t)/(1+t^2),tany=(2t)/(1-t^2),"f i n d"(dy)/(dx)dot
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- Differentiate tan^(-1)((cosx)/(1+sinx)) with respect to sec^(-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 f(x)=(log)(x^2)(logx), then f^(prime)(x) at x=e is 0 (b) 1 (c) 1...
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- The derivative of the function cot^(-1){(cos2"x")^(1/2)}a tx=pi/6 is (...
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- If f(x),g(x)a n dh(x) are three polynomials of degree 2, then prove th...
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- If sin^-1x+sin^-1y+sin^-1z=(3pi)/2, then find the value of x^2+y^2+z^2
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- If 3sin(x y)+4cos(x y)=5 then dy/dx=
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- If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l), the...
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- d/(dx){tan^(-1)((cosx)/(1+sinx))}e q u a l 1/2 (b) x (c) (1-x^2)/(1...
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