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If xandy are variables related by the eq...

If xandy are variables related by the equation `x=int_0^y(1/(sqrt(1+9u^2))dx`, then what is the value of `(dy)/(dx)`?

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Differentiate a^(lnx) w.r.t x ^(2).

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  2. If x = int0^y (1/sqrt(1+4t))dt then what is the value of (d^2y)/(dx^...

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  3. If xandy are variables related by the equation x=int0^y(1/(sqrt(1+9u^2...

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  4. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  5. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then find (dy)/(dx).

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  6. Differentiate sin^(-1)(cosx)"w.r.t.x"

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  7. Differentiate cos^(-1)(sinx) w.r.t.x.

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  8. What is the derivative of sec^(-1)x w.r.t.x, if xlt-1 ?

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  9. What is the derivative of sin^(-1)(3x-4x^(3)) w.r.t sin^(-1)x ?

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  10. What is the derivative of sin^(-1)((2x)/(1+x^2)) w.r.t tan^(-1)((2x)/(...

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  11. Find d/(dx)cot^(-1) tan(pi/2-x).

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  12. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

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  13. What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...

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  14. If f(x)=|logx| then for x!=1, then what is f'(x)?

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  15. What is the derivative of tan ^(-1)(cos sqrt(x)).

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  16. If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?

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  17. Find the derivative of cos^(-1)(sqrt(1+x)/2).

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  18. Differentiate cos^(-1) (4x^3-3x).

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  19. Differentiate tan^(-1)((sqrtx-x)/(1+xsqrt(x))).

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  20. If y=10^(x) and z=100^(x/2) then find d/dx(y^(2)/z).

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