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

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

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NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.2
  1. Show that the function given by f (x) = 3x + 17 is increasing on R.

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

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

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  4. Find the intervals in which the function f given by f(x) = 2x^(3) – 3x...

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

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  6. Find the intervals in which the functions are strictly increasing or ...

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  7. Find the intervals in which the functions are strictly increasing or ...

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

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  9. Find the intervals in which the functions are strictly increasing or ...

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  10. If f(x)=log (1+x)-(2x)/(2+x) is increasing , then………..

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  11. Find the values of x for which y = [x(x – 2)]^(2) is an increasing fu...

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

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  13. Prove that the logarithmic function is increasing on (0, oo).

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  14. Prove that the function f given by f(x) = x ^(2) – x + 1 is neither st...

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  15. Which of the following functions are decreasing on 0,(pi)/(2) ?

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  16. On which the following intervals in the function x^(100)+sinx-1 decre...

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  17. For what values of a the function f given by f(x) = x^2 +ax + 1 is inc...

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  18. Let I be any interval disjoint from [-1,1] Prove that the function f g...

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

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  20. Prove that the function f given by f(x) = log |cosx| is decreasing on ...

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