Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

# Category: Calculus

- Area under curves
- Left end-point approximation
- Right end-point approximation
- Improvements to rectangle approximations
- Find the total from a rate

Categories

## Integration

- Find the total from a rate
- Anti-differentiation
- Rules for anti-differentiation
- Examples of anti-derivative functions
- Finding the original function
- Area under a curve – integration
- Signed area

Categories

## Differentiation

- Differentiation by first principles
- Differentiation of polynomials
- Examples of derivative functions & gradients
- Graphs of derivative functions
- Tangents
- Normal lines
- Finding stationary points

Categories

## Tangent & normal lines

Explore the relationship between the tangent and normal at points on a parabola.

Categories

## Polynomial derivative

Investigate the derivative of different types of polynomials (linear to cubic functions).

Explore the tangent to the curve and the graph of the derivative function.