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Differentiate the following functions w....

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

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx when xy = e^(x-y)

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

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

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

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

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

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

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

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

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

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

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

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  13. Differentiate the following w.r.t.x. If y^x = e^(y - x), prove that ...

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  14. If x^p.y^q=(x+y)^(p+q) , show that dy/dx=y/x ;

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  15. If y = x^(x^(x….. To infty), prove that dy/dx = y^2/(x(1-ylogx)).

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  16. Differentiate (sinx)^(x)+(cosx)^(sinx) w.r.t. x.

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  17. Differentiate the following functions w.r.t.x x^x + x^(1//x)

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  18. Differentiate the following functions w.r.t.x x^(sinx) + (sin x)^x

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

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  20. Differentiate the following functions w.r.t.x sin(x^x) + (sin x)^x

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