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Show that the function given by f(x) = e...

Show that the function given by `f(x) = e^2x` is increasing on R.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The total revenue in Rupees received from its sale of x units of a pro...

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  2. Show that the function given by f(x) = 3x + 17 is increasing on R.

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  3. Show that the function given by f(x) = e^2x is increasing on R.

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  4. f(x) = sin x is a strictly increasing in (0, pi/2)

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  5. f(x) = sin x is a strictly decreasing in (pi/2,pi)

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  6. Show that the function given by f(x) = sinx is neither increasing no...

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  7. Find the intervals in which the function f given by f(x) = 2x^2 - 3x i...

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  8. Find the intervals in which the function f, given by f(x)=2x^(3)-3x^(2...

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

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

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

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

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

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  14. Show that y = log(1+x) - 2x/(2+x), x>-1, is an increasing function of...

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

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  16. Prove that y = 4sin theta/(2 + cos theta) - theta, is an increasing fu...

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

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  18. Prove that the function f given by f(x) = x^2-x+1 is neither strictly ...

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  19. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

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  20. On which of the following intervals is the function f given by f(x) = ...

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