Maths SL Ch.7 Limits and derivatives

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Define secant line
A straight line that intersects a line twice
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Define tangent line
A tangent line intersects the line once
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What does the derivative tell you?
It gives the gradient of the curve f(x) at any point x
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Define normal line
The line perpendicular to the tangent line at a point on a line
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What is the average rate of change/average velocity?
Slope of a secant line:
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What is the instantaneous rate of change/velocity?
Slope of a tangent line:
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What is the velocity function?
The instantaneous rate of change of displacement:
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What is the acceleration function:
The instantaneous rate of change of the velocity:
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When is a function increasing?
Tangent lines have a positive slope.
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When is a function decreasing?
Tangent lines have a negative slope.
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When does a function have a relative maximum point?
When function changes from increasing to decreasing:
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When does a function have a relative minimum point?
When a function changes from decreasing to increasing:
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Define inflexion point
Points on a graph where the concavity changes
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Other cards in this set

Card 2

Front

Define tangent line

Back

A tangent line intersects the line once

Card 3

Front

What does the derivative tell you?

Back

Preview of the front of card 3

Card 4

Front

Define normal line

Back

Preview of the front of card 4

Card 5

Front

What is the average rate of change/average velocity?

Back

Preview of the front of card 5
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