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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- 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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- If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0
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- If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1...
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- Differentiate the following functions with respect to x : (log)(10...
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- If =(sqrt(a^2+x^2)+sqrt(a^2-x^2))/(sqrt(a^2+x^2)-sqrt(a^2-x^2)) , show...
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- Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x...
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- Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2...
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- Differentiate x^x with respect to xlogxdot
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- Differentiate sin^(-1)((2x)/(1+2x)) wrt to tan^(-1)x , -1<x<1.
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- If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...
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