Feb 1, 2024 · A simple guide: How to know if a function is differentiable. Exploring the criteria and considerations for determining the differentiability of mathematical expressions.

So the function g (x) = |x| with Domain (0, +∞) is differentiable. We could also restrict the domain in other ways to avoid x=0 (such as all negative Real Numbers, all non-zero Real Numbers, …

A function is differentiable if the derivative exists at all points for which it is defined, but what does this actually mean? Learn about it here.

Aug 25, 2024 · Learn how to determine if a function is continuous or differentiable, with examples and explanations of key calculus concepts.

Sep 8, 2025 · Differentiability is a property of a function that tells us whether it has a well-defined tangent line (or slope) at a given point. A function f (x) is said to be differentiable at a point x = …

Mar 3, 2024 · First, we must check the continuity, because continuity is a necessary condition for differentiability.

Answer: We can determine if a function is differentiable at a point or not by looking at its graph. A function is not differentiable if its graph has a vertical line, a sharp edge, or discontinuity.

We examine a piecewise function to determine its continuity and differentiability at an edge point. By analyzing left and right hand limits, we establish continuity. Checking the limit of the …

Aug 4, 2025 · A function $f$ is considered differentiable on an interval $I$ if, for every point $a$ belonging to $I$, its derivative, denoted as $f' (a)$, exists. The existence of the derivative at a …

In this article, we'll explore what it means for a function to be "differentiable" in simple terms. We'll learn how to check if a function is differentiable using easy rules, understand why limits are …