More Lessons for A Level Maths
Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths.
How to find a range of values of x for an increasing or decreasing function?
The following diagrams show how to determine the range of values of x for an increasing or decreasing function. Scroll down the page for more examples and solutions on increasing or decreasing functions.
Differentiation : Increasing & Decreasing Functions
This tutorial shows you how to find a range of values of x for an increasing or decreasing function.
Find the range of values of x for which y = x3
- 8x + 1 is increasing.
Increasing Functions and Differentiation
For what values of x is y = 150x - 2x3
an increasing function?
Core 2 - Differentiation (1) - Increasing and Decreasing Functions
Decreasing Functions : C2 Edexcel June 2010 Q3
y = x2
- k√x, where k is a constant.
(a) Find dy/dx
(b) Given that y is decreasing at x = 4, find the set of possible values of k.
Increasing and Decreasing Functions and Stationary Points
Stationary points, Increasing and Decreasing Functions Revision guide
1. Prove that the curve y = x3
+ 3x - 2 has only one stationary point. Show that the stationary point is a point of inflection.
2. Show that the curve y = 4x - x4
has only 1 stationary point. Determine the nature of this point.
3. Show that y = 1/3 x3
+ 10x - 2 is an increasing function for all values of x.
4. For what values of x is y = x3
+ 5 a decreasing function?
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