Applications of Differentiation

Understand that differentiation is a calculation to find the rate at which a quantity is changing.
Be sure to know the “Power Rule”: For any real number n, the derivative of x^n is n*x^n-1.
Recall the rules of differentiation involving addition, subtraction, multiplication, and division.

Grasp being able to differentiate simple power functions, like x^2, which becomes 2x after differentiation.
Gain a mastery in differentiating constant multiplying functions, like 5x^3, which becomes 15x^2 after differentiation.

Learn the product rule for differentiation which allows you to differentiate products of two or more functions.
Familiarise yourself with the quotient rule which enables the differentiation of fractions where both the numerator and the denominator are functions.
Remember and apply the chain rule which allows you to differentiate composite functions.

Understand how differentiation can be used to find stationary points, i.e., maxima, minima and points of inflection, on a curve.
Use differentiation to find the tangent or normal to a curve at a particular point.
Practice using differentiation to solve problems involving rates of change.
Extract or approximate rates of change from real-world contexts and interpret them appropriately.
Comprehend that differentiation can be used to find velocity from displacement, acceleration from velocity, and other similar real world applications.