Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Rules of Differentiation
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

Rules of differentiation modules

Overview

After completing this section, students should be able to do the following.

  • Use the definition of the derivative to develop shortcut rules to find the derivatives of constants and constant multiples.
  • Use the definition of the derivative to develop shortcut rules to find the derivatives of powers of xx.
  • Use the definition of the derivative to develop shortcut rules to find the derivatives of sums and differences of functions.
  • Compute the derivative of polynomials.
  • Recognize different notation for the derivative.
  • State the derivative of the natural exponential function.
  • State the derivative of the sine function.

Patterns in derivatives

Ximera Module

Two young mathematicians think about ``short cuts'' for differentiation.

Basic rules of differentiation

Ximera Module

We derive the constant rule, power rule, and sum rule.

The derivative of the natural exponential function

Ximera Module

We derive the derivative of the natural exponential function.

The derivative of sine