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Write the interval in which the function...

Write the interval in which the function `sin^2x-x` is increasing.

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Write the interval in which the function sin^2x-x is increasing.

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  2. Write that condition of Rolle’s theorem which is violated by the funct...

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  3. or the curve y=3x^2 + 4x, find the slope of the tangent to the curve a...

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  4. What is the acceleration, at the end of 2 s of the particle that moves...

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  5. Write the interval in which the function sin^2x-x is increasing.

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

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  7. Mention the values of xfor whichthe function f(x) = x^3-12 x is decrea...

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  8. Find the point on the curves x = a(theta - sin theta) and y=a(1 - cost...

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  9. If the tangent at each point of the curve y = x^3-ax^2 + x +1 is incli...

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

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

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

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

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

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

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

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

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

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

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

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