# 1.1 Estimating gradients of curves

- Author:
- Sam Waterfield

## Applet explorations

**1)**Consider the steepness of the curve at each of the labelled points. Is it positive/negative, large/small? Are any gradients easier to estimate than others?

**2)**You could plot a tangent line to better visualise the gradients. Drag the point across the curve to change where the tangent touches the curve.

**3)**Check your answers and refresh the page to change the graph when you are happy with your estimates. What has all this got to do with calculus?

**Summarise any key points at the bottom of the page.**

## Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?