Derivative of a Sum-Product-Quotient-Composition

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Taught by TheMathDude
  • Currently 4.0/5 Stars.
3673 views | 1 rating
Meets NCTM Standards:
Features a TI Calculator
Lesson Summary:

In this lesson, you will learn how to compute the numerical value of the derivative of any function at a given input using a calculator. You'll be able to handle complicated algebraic questions by inputting the functions into the calculator and evaluating them at a particular input value. This video covers the derivative of a sum, product, quotient, and composition of functions. The lesson provides an example problem of how to take the derivative of sales functions, and it shows how to add or subtract them to find the total rate of change of both functions combined.

Lesson Description:

Be able to compute the numerical value of the derivative of ANY function at a given input including a function constructed from a sum, difference, product, quotient or composition of functions.

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Questions answered by this video:
  • How do you take the derivative of a composition of functions using a TI graphing calculator?
  • Why is the sum of derivatives of two functions equal to the derivative of the sum of the functions?
  • How do you find the derivative of two functions that are added or subtracted?
  • How do you find the derivative of two functions that are multiplied together or divided?
  • How do you find the derivative of f(g(x)) using a graphing calculator?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains how to find the value of the derivative of a function at a point. The functions in this lesson are of two functions added, subtracted, multiplied, divided, or composed together. The derivatives in this lesson are taken using a TI graphing calculator.