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Prove that the function f(x)=logsinx is ...

Prove that the function `f(x)=logsinx` is strictly increasing in `(0,pi/2)` and strictly decreasing in `(pi/2,pi)`

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
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  2. Find the absolute maximum and minimum values of a function f given by ...

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  3. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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  4. Find the approximate change in volume of a cube of side x meters cause...

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  5. A wire of length 28 m is cut into two pieces. One of the Pieces is be ...

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  6. Consider the function y=logx/x,x>0 Find the extreme points of f(x).

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  7. Consider the function y=logx/x,x>0 Find the maximum or minimum values ...

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  8. A rectangle sheet of tin with adjacent sides 45 cm and 24 cm is to be ...

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  9. An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to b...

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  10. The slope of the tangent to the curve y=x^3 inclined at an angle 60^@ ...

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  11. Consider the function y^2=4x+5 Find a point on the curve at which the ...

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  12. Find the approximate value of sqrt0.037.

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  13. Consider the function f(x)=x^2 in [-2,1] Find the local maximum or min...

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  14. Consider the function f(x)=x^2 in [-2,1] Find the absolute maximum and...

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  15. Of all the cylinders with given surface area, show that the volume is ...

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  16. Sand is pouring from a pipe at the rate of 12 cm^3 / s. The falling sa...

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  17. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

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  18. Two equal sides of an isosceles triangle with fixed base 'a' are decre...

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  19. Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

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  20. Consider the function f(x)=(x+1)^3(x-3)^3 Find critical points of f(x)...

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