Maths SL Ch.7 Limits and derivatives 0.0 / 5 ? MathematicsLimits and derivativesInternational BaccalaureateNone Created by: FoxicCreated on: 19-05-15 19:54 Define secant line A straight line that intersects a line twice 1 of 13 Define tangent line A tangent line intersects the line once 2 of 13 What does the derivative tell you? It gives the gradient of the curve f(x) at any point x 3 of 13 Define normal line The line perpendicular to the tangent line at a point on a line 4 of 13 What is the average rate of change/average velocity? Slope of a secant line: 5 of 13 What is the instantaneous rate of change/velocity? Slope of a tangent line: 6 of 13 What is the velocity function? The instantaneous rate of change of displacement: 7 of 13 What is the acceleration function: The instantaneous rate of change of the velocity: 8 of 13 When is a function increasing? Tangent lines have a positive slope. 9 of 13 When is a function decreasing? Tangent lines have a negative slope. 10 of 13 When does a function have a relative maximum point? When function changes from increasing to decreasing: 11 of 13 When does a function have a relative minimum point? When a function changes from decreasing to increasing: 12 of 13 Define inflexion point Points on a graph where the concavity changes 13 of 13
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