Definitions
- Referring to a function that has a derivative at a specific point. - Describing a function that can be approximated by a linear function at a given point. - Talking about a function that has a slope or tangent line at a particular point.
- Referring to a function that can be obtained by differentiation from another function. - Describing a function that can be expressed as a derivative of another function. - Talking about a function that can be calculated using the rules of differentiation.
List of Similarities
- 1Both words are related to calculus and functions.
- 2Both words describe properties of functions at specific points.
- 3Both words involve the concept of differentiation.
- 4Both words are used to describe mathematical functions.
What is the difference?
- 1Definition: Differentiable refers to a function that has a derivative at a specific point, while derivable refers to a function that can be obtained by differentiation from another function.
- 2Usage: Differentiable is used to describe a function's property at a specific point, while derivable is used to describe a function's relationship to another function.
- 3Focus: Differentiable focuses on the existence of a derivative, while derivable focuses on the ability to obtain a function through differentiation.
- 4Application: Differentiable is used to determine whether a function is continuous, while derivable is used to find the derivative of a function.
- 5Connotation: Differentiable is a more technical term, while derivable is more commonly used in everyday language.
Remember this!
In calculus, differentiable and derivable are two terms used to describe properties of functions. Differentiable refers to a function that has a derivative at a specific point, while derivable refers to a function that can be obtained by differentiation from another function. While both words are related to differentiation, they have different applications and connotations.
