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Differentiate the following functions w....

Differentiate the following functions w.r.t.x : `(2x+1)^(1//2) (3x +2)^(2//3) (4x +5)^(3//4)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following functions w.r.t.x : e^x cos^3 x sin^4 x

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  2. Differentiate the following functions w.r.t.x : x^2 e^x sin x

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  3. Differentiate the following functions w.r.t.x : (2x+1)^(1//2) (3x +2)^...

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  4. Differentiate the following functions w.r.t.x : e^x cos^3 x sin^4 x

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  5. Differentiate the following w.r.t. x : cos x . Cos 2x. Cos 3x

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  6. Differentiate the following w.r.t. x: (sinx)^(cos^-1x)

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  7. Find (dy)/(dx) when x^y + y^x = a^b

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  8. Find dy/dx when x^ y =1

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  9. Find dy/dx when xy = e^(x-y)

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  10. Differentiate the following functions w.r.t.x : x^x

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  11. Differentiate the following functions w.r.t.x : (sinx)^x

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  12. Differentiate the following functions w.r.t.x : (2x+3)^(x-5)

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  13. Differentiate the following functions w.r.t.x : x^(sin^-1x)

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  14. Differentiate the following functions w.r.t.x : x^(sinx) + sinx^(cos...

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  15. Differentiate the following functions w.r.t.x : (x^x)^x

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  16. Differentiate the following functions w.r.t.x : x^2 sin (1/x)

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  17. Differentiate the following functions w.r.t.x : (sinx)^x +(x log x)

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  18. Differentiate the following functions w.r.t.x : x^(tanx) + sqrt((x^2...

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

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  20. If x=e^(x//y), prove that (dy)/(dx) = (x-y)/(xlogx)

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