## Learn how to show that a function is always increasing using its derivative

In simple terms, to say that a function is increasing or decreasing means that the graph is sloping up or down. Slope is measured by gradient which is associated with derivatives. So essentially increasing functions are an application of derivatives. We can determine whether a function is increasing at a single point or on a range of values. In this video we look at the theory and work a typical example. Any questions about this video drop us a message HERE.

## Key Points

The values of a function are the f(x) or y values

Increasing function means the values are increasing

Increasing effectively means the graph of the function is going up to the right

The slope is measured by the gradient which is just the derivative

So, we use the functions derivative to show that it is always increasing

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