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Find the intervals in which the function...

Find the intervals in which the function `y=(Inx)/(x)` is increasing and decreasing.

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. If the tangent at each point of the curve y = x^3-ax^2 + x +1 is incli...

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  2. Find the open interval in which f(x)= x^(1/x), x > 0 is decreasing.

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  3. Find the intervals in which the function y=(Inx)/(x) is increasing and...

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  4. For which value of x, the function f(x) = 5-6x is increasing.

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  5. What is thevalue of a for which the function f(x) = a sin x + 1/3sin 3...

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  6. If f(x) = sin x + 2 in the interval [-pi/2,pi/2], what can you say abo...

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  7. Find interval (s) in which the function f(x) = sin x + cos x, x in (0,...

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  8. Find the extreme points of the function y= x+1/x.

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  9. What is the equation of the normal to the curve y= sqrtx at the point ...

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  10. Write the equation of the tangent to file curve y=|x|at the point (-2,...

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  11. If the tangent to the curve x = at^2, y = 2at is perpendicular to x-ax...

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  12. What is the equation of the normal to the curve y = sinx at (0, 0)

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  13. If f(x)=x^3 + ax^2 + bx +5sin^2x be an increasing function on the set ...

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  14. If f and g are two increasing functions then show that fog is an incre...

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  15. Mentionthevaluesofxfor which thefunction f(x)= x^3-12x is increasing.

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  16. Write the maximum value of the function y = x^(5) in the interval [1, ...

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  17. What is the slope of the normal to the curve 2y = 3-x^2 at the point (...

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  18. Find the equation of the tangent to the curve x = y^2-1 at the point w...

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  19. Find approxiamately the difference between the volumes of two cubes of...

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  20. Find the open interval in which f(x)= x^(1/x), x > 0 is decreasing.

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