derived function (Meaning)
Wordnet
derived function (n)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Synonyms & Antonyms of derived function
No Synonyms and anytonyms found
derived function Sentence Examples
- In calculus, the derivative of a function represents its rate of change.
- The derived function of \( f(x) = x^2 \) is \( f'(x) = 2x \).
- Mathematicians use derived functions to analyze the behavior of mathematical models.
- The velocity of an object can be determined by finding the derived function of its position with respect to time.
- The derived function of a polynomial helps identify the critical points where the function reaches maximum or minimum values.
- Engineers use derived functions to optimize designs and improve efficiency.
- Understanding derived functions is essential for solving differential equations in physics and engineering.
- The derived function of a trigonometric function often involves applying rules of differentiation.
- The slope of a tangent line to a curve at a specific point is determined by the value of the derived function at that point.
- Advanced calculus involves studying derived functions of complex functions to solve problems in various fields.
FAQs About the word derived function
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
No synonyms found.
No antonyms found.
In calculus, the derivative of a function represents its rate of change.
The derived function of \( f(x) = x^2 \) is \( f'(x) = 2x \).
Mathematicians use derived functions to analyze the behavior of mathematical models.
The velocity of an object can be determined by finding the derived function of its position with respect to time.
