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Show that f(x) = cos^(2) x is strictly d...

Show that `f(x) = cos^(2) x` is strictly decreasing on `(0, pi//2)`.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(g)
  1. Without using the derivative, show that The function f(x) = 3x + 7 i...

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  2. Without using the derivative, show that The function f(x) = e^(3x) ...

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  3. Show that the function f(x) = sin x defined on R is neither increasing...

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

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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 following functions are strictly incre...

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  7. Find the intervals in which the following functions are stricly increa...

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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 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. Show that f(x) = cos^(2) x is strictly decreasing on (0, pi//2).

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  13. Show that x + (1)/(x) is increasing on [1, oo).

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  14. At what points the slopes of the tangents to the curve y = (x^(3))/(6)...

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  15. Find the intervals in which the function f(x) = x^(3) - 3x^(2) + 4 is ...

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  16. Find the intervals in which the function f(x) = sin^(4) x + cos^(4) x ...

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