Lesson: Definition of the Derivative Mathematics

Students will be able to

• understand that the derivative of a function at a point represents the slope of the tangent to the function at this point,
• calculate the derivatives of polynomial functions using the definition of a derivative in terms of a limit,
• calculate the derivatives of other algebraic functions, such as radical functions or rational functions with 1 as a numerator, using the definition of a derivative in terms of a limit,
• identify the derivative notations (including prime and Leibniz’s notation).