Visualizing derivatives

The  exercise appears under the Differential calculus Math Mission. This exercise analyzes the connection between a graph with the derivative and antiderivative of a graphical function.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the representation of the derivative: This problem provides a graph and a movable grid that includes the picture of a possible derivative. The student is asked to move to the grid to the correct spot on the function.Visder1.png
 * 2) Find the representation of the antiderivative: This problem provides a graph and a movable grid that includes the picture of a possible antiderivative. The student is asked to move to the grid to the correct spot on the function.Visder2.png

Strategies
Knowledge of the graphs of functions, their derivatives, and their antiderivatives are encouraged to ensure success on this exercise.
 * 1) A derivative is positive when a function is increasing, and a function is negative when the function is decreasing.

Real-life Applications

 * 1) Calculus has massive applications to physics, chemistry, biology, economics and many other fields.
 * 2) The slope of a curve is the natural extension of a linear slope.