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Separate the intervals of monotonocity f...

Separate the intervals of monotonocity for the function `f(x)=((log)_e x)^2+((log)_e x)`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...

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  2. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

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  3. Separate the intervals of monotonocity for the function f(x)=((log)e x...

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  4. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

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  5. Discuss monotonocity of f(x)=x/(sinx)a n d g(x)=x/(tanx),where (xlt=1...

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  6. Prove that the curves y=f(x),[f(x)>0],a n dy=f(x)sinx ,w h e r ef(x) i...

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  7. Discuss the extremum of f(x)={x^2+x^-2}

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  8. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

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  9. Write the maximum value of f(x)=x^(1//x) .

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  10. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 , h...

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  11. Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

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  12. Show that the angle between the tangent at any point P and the line jo...

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  13. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

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  14. The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) ...

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  15. Prove that f(x)=(sinx)/x is monotonically decreasing in [0,pi/2]dot

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  16. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

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  17. Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima ...

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  18. The angle formed by the positive y - axis and the tangent to y=x^2+4x-...

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  19. Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

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  20. The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...

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