Move the first point “a” and change the value of “h” that determines the location of the second point. Bring h towards point a.
f(x) must defined as increasing function for the points x=a and x=a+h.
Category: Calculus
Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.
- 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.