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Which of the following function is stric...

Which of the following function is strictly decreasing in `( 0, pi/2)` ?

A

cos x

B

cos 2x

C

cos 3x

D

tan x

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JMD PUBLICATION-Appilications of Derivative-Exercise
  1. The point where the tangent to the curve y = x^2 - 4x + 5 is parallel ...

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  2. The interval in which the function f(x) = 2x^2 + 4x -5 is strictly inc...

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  3. Which of the following function is strictly decreasing in ( 0, pi/2) ?

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  4. The slope of normal to the curve y = x^2 +3 at x=1 is

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  5. The value of x for which function sin 2x attains its maximum is :

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  6. For what value of x, slope of the tangent to the curve y = x^3 + x + 1...

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  7. The absolute maximum value of the function f(x) = x^2 - 3x on [0,2] is

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  8. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

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  9. The value of x for which function cos 2x attains its maximum is :

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  10. Fill in the blanks: br The rate of change of area of circle w.r.t. rad...

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  11. Fill in the blanks: The function f(x) = x^2 -3x +2 is increasing in ……...

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  12. Fill in the blanks: br The function f(x) = e^2x is increasing on R…….

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  13. Fill in the blanks: The slope of tangent to curve y = x^3 - x at x= 2 ...

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  14. Fill in the blanks: The gradient of curve y= x^3 +3x + 2 at x =3 is…….

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  15. Statement True/ False: br The slope of the normal to the curve y = 2x^...

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  16. Statement True/ False: br The product of slope of tangent and normal i...

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  17. Statement True/ False: br If f(x) gt 0 then the function f(x) is said ...

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  18. Find a point on the parabola f(x) = (x - 3)^2, where the tangent is pa...

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  19. Show that the function f(x) = x^3 - 6x^2 +12x +8 is an increasing on R...

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  20. At what points on the curve x^2 + y^2 - 2x -4y +1 = 0 is the tangent p...

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