tangent line
[tangent line|tangent line] The tangent line to f(x) at a is the line passing through the point (a, f(a)) with slope fM-f@ (3.3) x-a Wen = Jim, provided the limit exists.
Definition
tangent line The tangent line to f(x) at a is the line passing through the point (a, f(a)) with slope fM-f@ (3.3) x-a Wen = Jim, provided the limit exists.
Mechanism
tangent line is a line that touches a curve at exactly one point. Its slope is calculated by taking the limit of secant line slopes through (1, 1) and other points on f(x) = x as the points approach the tangent point.
Effects
tangent line The tangent line equation y = -1x + 5 + 41 determines points where the slope of the graph matches specific conditions. It identifies locations for horizontal tangents and slopes of -1 in the function f(x) = x³ + x² - x - 1.