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y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy...

`y=tan^(-1)` `((3x-x^3)/(1-3x^2))`. Find `dy/dx` .

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx) for y=sin(x^2+1)dot

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  2. Let f(x)=x+1/(2x+1/(2x+1/(2x))) Compute the value of f(5) .

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  3. y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy/dx .

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  4. Find y' of y= 5x^5

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  5. y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)). find dy/dx.

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  6. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/(sqrt((1+yprime^2)...

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  7. y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), wher...

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  8. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

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  9. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

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  10. If f(9)=9 ,f'(9)=4, underset(xrarr9)"Lt" (sqrt f(x)-3)/(sqrtx-3)=?

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  11. Find the sum of the series 1+2x+3x^2+....(n-1)x^(n-2) using differenti...

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  14. Instead of the usual definition of derivative Df(x), if we define a n...

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

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  16. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

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  17. y=ln x + e^(2x) find y'

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  18. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pr...

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  20. If x=varphi(t), y=psi(t),t h e n(d^2 y)/(dx^2) is (a)(varphi^(prime)ps...

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