# CBSE Class 12-science Maths Increasing And Decreasing Functions

Relearn CBSE Class 12 Science Mathematics Applications of Derivatives – Increasing and Decreasing Functions at TopperLearning. In our concept videos, our Maths expert enables you to use calculus to think logically and solve Maths problems. You’ll learn the increasing and decreasing behaviour of functions. Our Maths expert will also help you with problem-solving techniques and exam strategies to easily solve problems with derivatives.

Utilise our CBSE Class 12 Science Maths videos and other learning resources to understand the important concept of derivatives. You can access these video lessons along with other resources for your Maths revision. Other Maths revision resources that can be found on our website include sample papers, practice papers and textbook solutions.

- 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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