The Slope of a Curve (Leaving Cert Mathematics): Flashcards
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Practise the cards
12 cards from this deck
What does slope represent in real-world contexts?
What does slope represent in real-world contexts?
Rates of change
How does curve slope differ from line slope?
How does curve slope differ from line slope?
Curve changes at different points; line is constant
Slope of curve at a point equals
Slope of curve at a point equals
Slope of tangent line at that point
Definition of tangent line
Definition of tangent line
Line touching curve at one point with same slope
Definition: differentiation
Definition: differentiation
Process of finding slope of curve at any point
Power rule: gives rac{dy}{dx} =
Power rule: gives rac{dy}{dx} =
Meaning of rac{dy}{dx}
Meaning of rac{dy}{dx}
Derivative; slope at any x-value
Alternative notation for rac{dy}{dx}
Alternative notation for rac{dy}{dx}
Power rule process in words
Power rule process in words
Multiply by power, then reduce power by 1
What happens to constants when differentiating?
What happens to constants when differentiating?
Disappear (derivative = 0)
Derivative of
Derivative of
How to differentiate multi-term functions?
How to differentiate multi-term functions?
Differentiate each term separately