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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.
