first derivative Synonyms

No Synonyms and anytonyms found

first derivative Meaning

Wordnet

first derivative (n)

the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

first derivative Sentence Examples

1. The first derivative of a function represents the instantaneous rate of change of the function.
2. Finding the first derivative is crucial for optimizing functions in various applications.
3. The first derivative test determines the local maximum and minimum points of a function.
4. The first derivative can be used to find the critical points of a function.
5. The sign of the first derivative indicates the increasing or decreasing intervals of the function.
6. The first derivative provides information about the concavity of a function.
7. In physics, the first derivative of displacement with respect to time gives the velocity.
8. In economics, the first derivative of a utility function reflects the marginal utility.
9. The first derivative is essential for solving differential equations of first order.
10. The first derivative helps identify the rate of decay in exponential functions.

FAQs About the word first derivative

What is the meaning of the word first derivative

the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

What are the synonyms of the word first derivative

No synonyms found.

What are the antonyms of the word first derivative

No antonyms found.

What is the usage of word first derivative

The first derivative of a function represents the instantaneous rate of change of the function.

Finding the first derivative is crucial for optimizing functions in various applications.

How to use the word first derivative in a sentence?

The first derivative test determines the local maximum and minimum points of a function.

The first derivative can be used to find the critical points of a function.