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

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

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Discuss the extremum of f(x)={x^2+x^-2}

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

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  16. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

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  17. Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^...

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  18. Which of the following pair(s) of curves is/are orthogonal?

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  19. If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...

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  20. Let the parabolas y=x(c-x)a n dy=x^2+a x+b touch each other at the poi...

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