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Differentiate sin^(-1)(2xsqrt1-x^(2)) w....

Differentiate `sin^(-1)(2xsqrt1-x^(2))` w.r.t.` x`.

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
  1. Find dy/dx if y=cot^(-1)((1+cosx)^(1/2)/(1-cosx)^(1/2)) .

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  2. Find the derivative of sin x^(0) w.r.t. x.

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  3. Differentiate sin^(-1)(2xsqrt1-x^(2)) w.r.t. x.

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  4. Let f(x)=e^(x)g(x),g(0)=2 and g(0)=1, then find f'(0) .

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  5. If x in(0,pi/2) then find d/dx(sinx).

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  6. Find d/dx(sin^(-1)x)^(x^2)

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  7. If f(x)=[x^(2)] then f(3/2)=.

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  8. A differentiable function f defined for all x>0 satisfies f(x^(2))=x^(...

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  9. What is the derivative of f'(lnx) w.r.t. x where f(x)=ln x.

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  10. Find the derivative of log(x)a.

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  11. If x^(y)=e^(x-y) then find dy/dx.

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  12. Examine the continuity of the function f defined by f(x)={[2x+1if x<1]...

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  13. examine the contiunity of the following functions at indicated points ...

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  14. Examine the contiunity of the following functions at the indicated poi...

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  15. Find the value of a such that the function f defined by f(x)={((sinax...

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  16. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

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  17. Examine the contiunity of the the following functions at indicated poi...

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  18. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

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  19. Test differentiability of the following function at the indicated poin...

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  20. Differentiate x^(sin^(-1)x w.r.t. sin ^(-1).

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