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Find the intervals in which the function...

Find the intervals in which the function f given by `f(x) = x^(2) - 4x + 6` is (a) strictly increasing (b) strictly decreasing.

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The correct Answer is:
f is strictly increasing in this interval.
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SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -THREE MARKS QUESTIONS WITH ANSWERS (A) DECREASING AND INCREASING FUNCTIONS
  1. Show that the function given by f(x) = 3x + 17 is strictly increasing ...

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

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

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

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

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  6. Find the intervals in which the functions f given by f(x) = 4x^(3) - 6...

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  7. Show that the function given by f(x) = sin x is (a) strictly increas...

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  8. Show that the function given by f(x) = sin x is (b) strictly decreas...

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  9. Show that the function given by f(x) = sin x is (c) neither increasi...

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  10. Prove that the function given by f(x) = cos x is (a) strictly decrea...

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  11. Prove that the function given by f(x) = cos x is (b) strictly increa...

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  12. Prove that the function given by f(x) = cos x is (c) neither increas...

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  13. Find the intervals in the function f is given by f(x) = sin x + cos x,...

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  14. Find the interval in which the following functions are strictly increa...

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  15. Find the interval in which the following functions are strictly increa...

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  16. Find the interval in which the following functions are strictly increa...

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  17. Find the interval in which the following functions are strictly increa...

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  18. Find the interval in which the following functions are strictly increa...

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  19. Show that y = log(1 +x) - (2x)/(2 + 2x) , x gt -1, is an increasing fu...

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

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