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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` `(x^2-y^2)/(x^2+y^2)` (b) `y/x` (c) `x/y` (d) none of these

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=sqrt(sinx+y) then (dy)/(dx)= (a) (sinx)/(2y-1) (b) (sinx)/(1-2y)...

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  2. 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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  3. 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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  4. If (1+x)^n=c0+C1x+C2x^2++Cn x^n ,using derivative prove that C1+2...

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  5. Differentiate the following function with respect to x, "tan"(x^0+...

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  6. If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2...

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  7. If y=(xsin^(-1)x)/(sqrt(1)-x^2)+logsqrt(1-x^2) , then prove that (dy)/...

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  8. Differentiate the following functions with respect to x : log(secx+ta...

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  9. Differentiate the following functions with respect to x : sec(logx^n)...

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  10. If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0

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  11. 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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  12. Differentiate the following functions with respect to x : (log)(10...

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  13. 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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  14. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x...

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  15. Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2...

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  16. Differentiate x^x with respect to xlogxdot

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  17. Differentiate sin^(-1)((2x)/(1+2x)) wrt to tan^(-1)x , -1<x<1.

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  18. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

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  19. If u=sin(mcos^(-1)x),v=cos(msin^(-1)x),p rov et h a t(d u)/(d v)=sqrt(...

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  20. Differentiate logsinx with respect to sqrt(cosx) .

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