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If fr(x),gr(x),hr(x),r=1,2,3 are polynom...

If `f_r(x),g_r(x),h_r(x),r=1,2,3` are polynomials such that `f_r(a)=g_r(a)=h_r(a),r=1,2,3 and` `F(x)=|[f_1(x),f_2(x),f_3(x)],[g_1(x),g_2(x),g_3(x)],[h_1(x),h_2(x),h_3(x)]|` then `F^(prime)(x) at x=a` is____________________

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

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  2. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then find (dy)/(dx).

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  3. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

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  4. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

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  5. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  6. Differentiate tan^(-1)(x/(1+sqrt((1-x^2)))) +{2tan^(-1)sqrt(((1-x)/(1+...

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  7. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

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  8. Differentiate (logx)^(cosx) with respect to xdot

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  9. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

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  10. If f(x)=xsinx, then find f^(prime)(pi/2)

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  11. about to only mathematics

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

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

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

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

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

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

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

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

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