Differentiation
definition and basic derivative rules
The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly.
This course contains 12 segments:
Defining average and instantaneous rates of change at a point
Defining the derivative of a function and using derivative notation
Estimating derivatives of a function at a point
Connecting differentiability and continuity: determining when derivatives do and do not exist
Applying the power rule
Derivative rules: constant, sum, difference, and constant multiple: introduction
Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
Derivatives of cos(x), sin(x), ?ˣ, and ln(x)
The product rule
The quotient rule
Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions
Optional videos
Some things are not explicitly required by the AP Calculus BC course, but many teachers cover them and we also find them useful. We've gathered those optional videos here for your convenience.
Get a Reminder
Rating | Not enough ratings |
---|---|
Length | 12 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
Get a Reminder
Similar Courses
Careers
An overview of related careers and their average salaries in the US. Bars indicate income percentile.
IP Rules Customer and Quality Liaison $42k
Rules Coordinator $55k
PEGA Rules Developer $56k
PEGA Rules Developer $56k
Rules Analyst - Product Configuration $71k
Business Rules Systems Analyst $72k
Underwriting Rules Analyst $75k
Business Rules Developer $87k
Senior Business Analyst/RULEs Analyst $99k
Senior Rules Analyst/Developer $121k
Senior Global Rules Analyst $138k
Global Rules Analyst Consultant $148k
Write a review
Your opinion matters. Tell us what you think.
Please login to leave a review
Rating | Not enough ratings |
---|---|
Length | 12 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
Similar Courses
Sorted by relevance
Like this course?
Here's what to do next:
- Save this course for later
- Get more details from the course provider
- Enroll in this course