DIFFERENTIABLE in a Sentence Examples: 21 Ways to Use Differentiable

Have you ever wondered what it means for a function to be differentiable? In math, a function is considered differentiable at a specific point if it has a well-defined derivative at that point, indicating a smooth and continuous change in the function’s values.

To put it simply, a differentiable function can be thought of as one that has a clear and defined rate of change at any given point within its domain. This concept is crucial in calculus and plays a significant role in analyzing functions and their behaviors.

7 Examples Of Differentiable Used In a Sentence For Kids

• Mathematics is fun when we learn about differentiable shapes.
• We can make differentiable patterns with colorful shapes.
• Let’s find out which animals have differentiable footprints.
• Drawing with crayons helps us learn about differentiable colors.
• Shapes that are smooth are usually differentiable.
• Learning about numbers and counting is differentiable.
• Let’s explore the world of differentiable shapes together.

14 Sentences with Differentiable Examples

1. Are you able to determine if the function is differentiable at the given point?
2. One of the key concepts in calculus is understanding differentiable functions.
3. It is important to know how to find the derivative of a differentiable function.
4. Could you explain the concept of being differentiable on a closed interval?
5. When studying limits, it is crucial to consider the differentiability of the function.
6. The instructor emphasized the importance of continuity and differentiability in calculus.
7. Can you prove that the function is differentiable using the limit definition?
8. Differentiable functions play a significant role in analyzing the behavior of functions.
9. As students, we must understand the conditions for a function to be differentiable.
10. The concept of differentiability helps us analyze the rate at which a function changes.
11. Could you provide an example of a non-differentiable function?
12. We need to differentiate between the concepts of continuity and differentiability.
13. Understanding the concept of differentiability is essential for calculus students.
14. It is necessary to study the properties of differentiable functions for advanced calculus courses.

How To Use Differentiable in Sentences?

Differentiable means capable of being differentiated or changed smoothly. To use this word in a sentence, describe a situation where something can change or be varied continuously without abrupt shifts. For example, “The temperature of the room was differentiable as the thermostat was set to gradually increase throughout the day.”

When using the word differentiable, consider the context in which you want to express a continuous or smooth transition. This word is commonly used in mathematics, physics, and computer science to describe functions or systems that can exhibit a smooth change in behavior.

To use differentiable effectively, ensure that your sentence provides clear and understandable information about a process, function, or system that can undergo a continuous change without sudden disruptions. For instance, “The slope of the curve was differentiable at every point, indicating a smooth transition from one value to another.”

Overall, incorporating the term differentiable in your sentence can help convey the idea of a smooth and continuous change or variation in a particular context. Practice using this word in different sentences to become more familiar with its meaning and usage.

Conclusion

In mathematical analysis, a function is said to be differentiable at a point if it has a well-defined derivative at that point. This concept is essential in calculus and is used to describe functions that have a smooth and continuous gradient. Sentences with the word “differentiable” often pertain to mathematical discussions where the focus is on the existence and properties of derivatives.

Understanding differentiability is key in various fields such as physics, engineering, and economics, where rates of change are crucial. By studying functions that are differentiable, researchers can analyze the behavior of systems and make predictions based on their derivatives. The ability to differentiate functions enables us to model complex phenomena and solve a wide range of problems in the natural and social sciences.