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Differentiate the following w.r.t x ...

Differentiate the following w.r.t x
`e^(sin^(-1)x)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx in the following:y=sec^-1(1/(2x^2-1)), 0ltxlt1/sqrt2

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  2. Differentiate the following w.r.t. x : e^x/(sinx)

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  3. Differentiate the following w.r.t x e^(sin^(-1)x)

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  4. Differentiate the following w.r.t x e^(x^3)

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  5. Differentiate the following w.r.t. x: sin(tan^-1 e^-x)

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  6. Differentiate the following w.r.t. x: log(cos e^x)

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  7. Differentiate the following w.r.t. x: e^x+e^(x^2)+. . . .+e^(x^5)

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  8. Differentiate the following w.r.t.x : sqrt(e^(sqrt(x)), x gt 0

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  9. Differentiate the following w.r.t.x : log(log x) , x lt 1

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  10. Differentiate the following w.r.tx: (cosx)/(logx), x>0

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  11. Differentiate the functions : cos x cos 2 x cos 3x

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  12. Differentiate the function w.r.t. x : sqrt ((x-1)(x-2))/((x-3)(x-4)(...

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  13. Differentiate the functions : (logx)^(tanx)

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  14. Differentiate the functions : x^x - 6^(cosx)

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  15. Differentiate the function w.r.t. x : (x+3)^2 cdot (x+4)^3 cdot (x+5)...

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  16. Differentiate the function w.r.t. x : (x+1/x)^x + x^((1+1/x))

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  17. Differentiate the function w.r.t. x : (logx)^x + x^logx

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  18. Differentiate the function w.r.t. x : (sinx)^x + sin^-1sqrtx

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  19. Differentiate the function w.r.t. x : x^sinx + (sinx)^cosx

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  20. Differentiate the function w.r.t. x : x^(xcosx) + (x^2 +1)/(x^2 - 1)

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