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

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

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.t. x: (tanx)^(cotx) + x(tanx), 0 < x...

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  2. Differentiate the following w.r.t. x: x^(sinx) + (sinx)^(cosx)

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

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  4. Differentiate the following w.r.t. x: (x)^(logx) + (logx)^x

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  5. Differentiate the following w.r.t. x: (logx)^(cosx) + (x^2+1)/(x^2-1...

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  6. Differentiate the following w.r.t. x: (x cos x)^x + ( x sin x )^(1//...

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  7. Differentiate the following w.r.t. x: (cosx)^x + (sinx)^(1//x)

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  8. Differentiate the following w.r.t. x: e^(sinx) + (tanx)^x

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  9. Differentiate the following w.r.t. x: x^x - 2^(sinx)

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  10. Differentiate the following w.r.t. x: (x+1/2)^x + x^(1+1/x)

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  11. Differentiate the following w.r.t. x: x^(x^2-3) + (x-3)^(x^2), for x...

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  12. Differentiate the following w.r.t. x: x^2 + (sinx)^x

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  13. Differentiate the following w.r.t. x: ((ax+b) (cx+d))/((ax-b)(cx-d))...

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  14. Differentiate the following w.r.t. x: (cos^(-1)x/2)/(sqrt(2x+7)), - ...

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  15. Differentiate the following w.r.t.x . (sqrt((x - 3)(x^2 + 4)))/(3x^2...

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  16. Differentiate the following w.r.t. x: x^2e^x sinx

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  17. Differentiate the following w.r.t. x: e^x cos^3 x sin^2x

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  18. Differentiate the following w.r.t. x: (x+6)^3 (x+2)^4(x+5)^5

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  19. Differentiate the following w.r.t. x: sqrt((x-1)(x-2)(x-3)(x-4))

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  20. If xy = e^(x-y), find dy/dx

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