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In [0,pi/2] the function f(x) = log sin ...

In `[0,pi/2]` the function f(x) = log sin x is

A

1) strictly increasing

B

2) increasing

C

3) strictly decreasing

D

4) decreasing

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

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  2. The radius of an air bubble is increasing at the rate of 0.2 cm/s. The...

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  3. In [0,pi/2] the function f(x) = log sin x is

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  4. Which of the following function is always increasing?

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  5. The slope of the normal to the curve y =3x^2 +2 sin x at x =0 is

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  6. The radius of a circle is increasing at the rate of 0.14 cm/sec. The r...

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

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  8. The function f(x) = sin x + cos x has maxima or minima at x =

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  9. Find the rate of change of the area of a circle per second with respec...

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  10. Find the rate of change of the area of a circle with respect to its ra...

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  11. Which of the following function is increasing for all values of x in i...

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  12. The interval in which te function f(x) =x^2 -6x+5 increasing is

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  13. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  14. If x is real, the maximum value of x^2 -8x + 17 is

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  15. A straight line parallel to the line 2x-y+5 =0 is also a tangent to th...

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  16. The function f(x) = 2x^3 -15x^2+36x+6 is stictly decreasing in the int...

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  17. The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) ...

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  18. The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with ...

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  19. A stone is dropped into a quiet lake and wave move in circles at a spe...

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  20. If 'f' is a real valued differentiable function such that f(x) f'(x) <...

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