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Differentiate the following function wit...

Differentiate the following function with respect to `x` : `cos^(-1){(x+sqrt(1-x^2))/(sqrt(2))}; -1 lt x lt 1`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Find (dy)/(dx) in each of the following: x^(2/3)+y^(2/3)=a^(2/3)

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  2. Find (dy)/(dx) in each of the following: x y=c^2

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

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

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  5. Differentiate the following function with respect to x : t a n^(-1)...

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  6. Differentiate the following function with respect to x : sin^(-1...

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  7. Differentiate the following function with respect to x : tan^-1(...

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

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  9. Differentiate the following function from first principles: e^(3x)

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

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

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

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

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

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

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

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  17. Differentiate the following function from first principles: logcosx

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

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

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

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