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Differentiate y=(siny)^(sin2x)...

Differentiate `y=(siny)^(sin2x)`

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

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  2. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

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  3. Differentiate y=(siny)^(sin2x)

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  4. Test the differentiability and continuity of the following function at...

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

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  6. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

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  7. If y=e^(sin^(-1)x) and u=logx then what is (dy)/(du)?

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  8. Find the slope of the tangent to the curve x=2(theta-sin2theta),y=2(...

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  9. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  10. Differentiate sec^(-1)((x+x^(-1))/(x-x^(-1))) w.r.tx.

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  11. Prove that y=tan(x+y), then (dy)/(dx)=(1+y^(2))/(-y^(2))

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  12. Find (dy)/(dx), if y=log(x^(2)) 3.

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  13. Find (dy)/(dx)when y=10^(sin x).

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  14. If F(x)= intx^(x^2)e^(-t^4) dt then find F^1(x).

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  15. If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III ...

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  16. Find the derivative of sin^(-1)((2x^3)/(1+x^6)).

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  17. Find the derivative of tan^(-1)(cos^2x).

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  18. Examine the differentiability of ln x^(2) for all real values of x.

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  19. Find (dy)/(dx) when y=tan^(-1) ((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x)...

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  20. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

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