Instructional Video
Sophia Learning

Sophia: Using Higher Derivatives of Position: Lesson 4

9th - 10th
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 4 of 7 in the series titled "Using Higher Derivatives of Position."
Instructional Video
Sophia Learning

Sophia: Using Higher Derivatives of Position: Lesson 5

9th - 10th
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 5 of 7 in the series titled "Using Higher Derivatives of Position."
Instructional Video
Sophia Learning

Sophia: Using Higher Derivatives of Position: Lesson 7

9th - 10th
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 7 of 7 in the series titled "Using Higher Derivatives of Position."
Instructional Video
Sophia Learning

Sophia: Inflection: Lesson 1

10th - 12th Standards
This lesson introduces the concept of the inflection point and explains how it is related to the second derivative and shape of a function. It is 1 of 5 in the series titled "Inflection."
Instructional Video
Sophia Learning

Sophia: Inflection: Lesson 3

10th - 12th Standards
This lesson introduces the concept of the inflection point and explains how it is related to the second derivative and shape of a function. It is 3 of 5 in the series titled "Inflection."