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Prove that the logarithmic function is i...

Prove that the logarithmic function is increasing on `(0,∞)`.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Prove that f(x) = 2 sinx + 1 is an increasing function on [0,pi/2]

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  2. f(x) = tan^-1(sinx+cosx) is strictly decreasing function on (pi/4,pi/2...

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  3. Prove that the logarithmic function is increasing on (0,∞).

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  4. Prove that the function f given by f(x) = log sin x is strictly increa...

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  5. Prove that f(x)="log""cos"x is strictly decreasing on (0,pi/(2)) and s...

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  6. Find the intervals in which the following functions are increasing: x^...

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  7. Find the intervals in which the following functions are strictly incre...

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  8. Find the intervals in which the functions: f(x) =x^3 + 2x^2 - 1is stri...

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  9. Find the intervals in which the function f(x) = 30 - 24 x + 1 5x^2- 2...

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  10. Find the values of 'a for which the function : f(x) = x^2 - 2ax + 6 is...

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  11. Find the value of 'a' for which f(x) = sinx - ax + b is decreasing fun...

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  12. Find the values of x for which y = [x(x-2)]^2 is an increasing functio...

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  13. Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a ...

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  14. Determine for which values of x, the following function are increasing...

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  15. Determine for which values of x, the following function are increasing...

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  16. Determine for which values of x, the following function are increasing...

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  17. Find the intervals in which the following functions are strictly incre...

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  18. Determine for which values of x, the following function are increasing...

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  19. For what value of 'x' are the following funtions increasing or decrea...

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  20. For what value of 'x' are the following funtions increasing or decrea...

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