# CBSE Class 12-science Maths Increasing and Decreasing Functions

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- A man is moving away from a 40 m high tower at a speed of 2m/s . find the rate at which angle of elevation of the top of the tower is changing when he is at a distance of 30m from foot of tower. Assume that eye level of the man is 1.6 m from the ground. explain in great detail
- Show that the function f (x) = 2x + 3 is strictly increasing function on R.
- Show that the function f (x) = x
^{2}is strictly increasing function on [0,∞). - Show that the function f (x) = a
^{x}, a > 1 is strictly increasing on R. - Find the intervals in which f (x) = –x
^{2}– 2x + 15 is increasing or decreasing - Find the intervals in which the function f (x) is increasing, f (x) = 2x
^{3}- 9x^{2}+ 12x + 15 - Find the intervals in which the function f (x) is decreasing f(x) = 2x
^{3}+ 9x^{2}+ 12x + 20 - Find the intervals in which f (x) = (x + 1)
^{3}(x - 3)^{3}is increasing or decreasing. - Find the intervals in which the function f (x) =
_{}is increasing or decreasing - Determine the intervals in which the function f (x) = x
^{4}– 8x^{3}+ 22x^{2}– 24x + 21 is decreasing or increasing

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