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More Lessons for A Level Maths

Math Worksheets

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.

Example:

Find the range of values of x for which y = x^{3} + 5x^{2} - 8x + 1 is increasing.
**Increasing Functions and Differentiation**

Example:

For what values of x is y = 150x - 2x^{3} an increasing function?

**Core 2 - Differentiation (1) - Increasing and Decreasing Functions**
**Decreasing Functions : C2 Edexcel June 2010 Q3**
Example:

y = x^{2} - 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**

Examples:

1. Prove that the curve y = x^{3} + 3x^{2} + 3x - 2 has only one stationary point. Show that the stationary point is a point of inflection.

2. Show that the curve y = 4x - x^{4} has only 1 stationary point. Determine the nature of this point.

3. Show that y = 1/3 x^{3} - 3x^{2} + 10x - 2 is an increasing function for all values of x.

4. For what values of x is y = x^{3} - 3x^{2} + 5 a decreasing function?

More Lessons for A Level Maths

Math Worksheets

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.

This tutorial shows you how to find a range of values of x for an increasing or decreasing function.

Example:

Find the range of values of x for which y = x

Example:

For what values of x is y = 150x - 2x

y = x

(a) Find dy/dx

(b) Given that y is decreasing at x = 4, find the set of possible values of k.

Examples:

1. Prove that the curve y = x

2. Show that the curve y = 4x - x

3. Show that y = 1/3 x

4. For what values of x is y = x

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