Recognizing slope of curves

The  exercise appears under the Differential calculus Math Mission. This exercise connects the sign of a function together with the sign of it's derivative.

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


 * 1) Find where the derivative is correct: This problem has a graph and a requirement based on the function it represents. The student is expected to move the shaded region to the space that illustrates the position where the derivative is correct.Rsoc1.png
 * 2) Find where the derivative and sign are correct: This problem has a graph and a requirement based on the function it represents. The student is expected to move the shaded region to the space that illustrates the position where the derivative and the value of the function are correct.Rsoc2.png

Strategies
Knowledge of the various meanings of the derivative are encouraged to ensure success on this exercise.
 * 1) A function is positive when it is above the x-axis and negative when it is below.
 * 2) A derivative is positive when a function is increasing and negative when it 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.