Tangent, in geometry, the tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point. It may be considered the limiting position of straight lines passing through the given point and a nearby point of the curve as the second point
MOSAIC Calculus - 21 Concavity and curvature
How are the slope at a point on a curve and the slope of the tangent at that point the same things? - Quora
Find Points of Tangency and Normalcy on a Curve - dummies
14.5 Directional Derivatives
Numeracy, Maths and Statistics - Academic Skills Kit
Derivative is used to find the slope of the tangent line at point C
Equation of Tangent Line Using Definition of Derivative
Understanding Differentiation Part 1: The Slope of a Tangent Line
Application of Derivatives: Equation of Tangents and Normal Lines to a Curve
Why do we take the derivative as the slope of the tangent line? It's just a point there and the point doesn't have a slope. Why do they say the secant eventually
The Derivative
calculus - What is the intuition behind the unit normal vector being the derivative of the unit tangent vector? - Mathematics Stack Exchange