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Differentiate the following function w...

Differentiate the following function with respect to `x : sin^(-1) {(sqrt(1+x)+sqrt(1-x))/2} ,0

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following function from first principles: e^(3x)

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  2. Differentiate the following functions with respect to 3^(e^x

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  3. Differentiate the following function with respect to x : sin^(-1) {(...

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  4. Differentiate the following functions with respect to sqrt((1-x^2)/...

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  5. Differentiate the following functions with respect to e^(tanx)

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  6. Differentiate the following function sin^(-1)(x/(x^2+a^2))

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  7. If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)=...

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  8. If y=(sinx)^((sinx)^((sinx)^(...^infty))) , prove that (dy)/(dx)=(y^...

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  9. Differentiate the following function from first principles: logcosx

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  10. If y=e^(x^(e^x))+x^(e^(e^x))+e^(x^(x^e)) , prove that (dy)/(dx)=e^(x^(...

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  11. Find (dy)/(dx), y=e^(3x)sin4x. 2^x

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  12. Differentiate the following function from first principles: e^(sqrt...

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  13. Differentiate the following function (sqrt(x^2+1)+sqrt(x^2-1))/(sq...

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  14. Differentiate the following functions with respect to (sin^(-1)x^4)...

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  15. Find (dy)/(dx), y=((x^2-1)^3(2x-1))/(sqrt((x-3)(4x-1)))

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  16. If sqrt(y+x)+sqrt(y-x)=c ,show that (dy)/(dx)=y/x-sqrt((y^2)/(x^2)...

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  17. If (sinx)^y=(cosy)^x ,p rov et h a t(dy)/(dx)=(logcosy-ycotx)/(logsinx...

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  18. If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)

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  19. If e^x+e^y=e^(x+y),p rov e t h a t(dy)/(dx)+e^(y-x)=0

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  20. If xsin(a+y)+sina cos(a+y)=0, prove that (dy)/(dx)=sin^2(a+y)/sina

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