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If y=sqrt(log{sin((x^2)/3-1)}), t h e ...

If `y=sqrt(log{sin((x^2)/3-1)})`, `t h e n` find `(dy)/(dx)dot`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

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  2. If x=cos e ctheta-sintheta and y=cosec^ntheta-sin^ntheta, then show th...

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  3. If y=sqrt(log{sin((x^2)/3-1)}), t h e n find (dy)/(dx)dot

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  4. Find (dy)/(dx) of y= x^3

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  5. Find (dy)/(dx) for y=sin(x^2+1)dot

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

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

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

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

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  10. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/((1+yprime^2)^3...

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

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  12. Find the derivative of sec^(-1)(1/(2x^2-1))wdotrdott sqrt(1-x^2) at x=...

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

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  14. If f(9)=9,f^(prime)(9)=4,t h e n("lim")(x->9)(sqrtf(x)-3)/(sqrtx-3)= ...

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

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  16. If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in...

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  17. y=4x^2 + e^(3x) find y'

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

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

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  20. If y=|cosx|+|sinx|,t h e n(dy)/(dx)a tx=(2pi)/3 is (1-sqrt(3))/2 (b) 0...

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