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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- 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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- If y=sqrt(sinx+y) then (dy)/(dx)= (a) (sinx)/(2y-1) (b) (sinx)/(1-2y)...
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- If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...
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- If sin^(-1)((x^2-y^2)/(x^2+y^2))=logat h e n(dy)/(dx)i se q u a lto ...
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- If (1+x)^n=c0+C1x+C2x^2++Cn x^n ,using derivative prove that C1+2...
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- Differentiate the following function with respect to x, "tan"(x^0+...
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- If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2...
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- If y=(xsin^(-1)x)/(sqrt(1)-x^2)+logsqrt(1-x^2) , then prove that (dy)/...
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- Differentiate the following functions with respect to x : log(secx+ta...
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- Differentiate the following functions with respect to x : sec(logx^n)...
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