Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
Which of the following statements about partial derivatives is true?
Which of the following statements about partial derivatives is true?
- Partial derivatives are used to find the integral of a function with respect to one variable while keeping the other variables constant.
- Partial derivatives are used to find the slope of a function with respect to all variables simultaneously.
- Partial derivatives are used to find the slope of a function with respect to one variable while keeping the other variables constant. (correct)
- Partial derivatives are used to find the integral of a function with respect to all variables simultaneously.
What does the gradient vector represent?
What does the gradient vector represent?
- The gradient vector represents the average rate of change of a function.
- The gradient vector represents the direction of steepest ascent of a function. (correct)
- The gradient vector represents the direction of steepest descent of a function.
- The gradient vector represents the instantaneous rate of change of a function.
What does the Chain Rule allow us to do?
What does the Chain Rule allow us to do?
- The Chain Rule allows us to find the derivative of a composition of functions. (correct)
- The Chain Rule allows us to find the slope of a function with respect to one variable while keeping the other variables constant.
- The Chain Rule allows us to find the integral of a composition of functions.
- The Chain Rule allows us to find the slope of a function with respect to all variables simultaneously.
Flashcards are hidden until you start studying
