5 Questions
0 Views
3.3 Stars

# Understanding Derivatives in Mathematics

Created by
@BestOstrich

### What does the derivative of the position of a moving object with respect to time represent?

The object's velocity

### How is the derivative of a function of a single variable at a chosen input value defined?

The slope of the tangent line to the graph of the function at that point

### How is the derivative often described due to its relationship with change?

The instantaneous rate of change

### In what way can derivatives be generalized for functions of several real variables?

<p>As a linear transformation whose graph is the best linear approximation to the original function</p> Signup and view all the answers

### What does the Jacobian matrix represent for functions of several variables?

<p>A linear transformation with respect to the basis given by the choice of independent and dependent variables</p> Signup and view all the answers

## More Quizzes Like This

12 questions
6 questions
Use Quizgecko on...
Browser
Information:
Success:
Error: