differentiable
Chinese equivalent: 可导
differentiable A function is differentiable at a point if its derivative exists there, implying the function has a tangent line and is smooth near that point.
Syllabus path: Functions › Preliminary Derivatives › Geometric Meaning of Derivative
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CSCA Mathematics Exam Glossary
Definition
differentiable A function is differentiable at a point if its derivative exists there, implying the function has a tangent line and is smooth near that point.
Related tutorial and examples
Geometric Meaning of Derivative
Geometric Meaning of Derivative 1. Core Concepts Geometric Meaning: The derivative f'(x₀) of a function y = f(x) at x₀ represents the Slope of the Tangent Line to the curve at the point P(x₀, f(x₀)). k(tangent) = f'(x₀) Visual Intuition: Let P be a fixed point and Q be a moving p…
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