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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?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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