Instantaneous Rate of Change (VCE SSCE Mathematical Methods): Quizzes
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Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What does instantaneous rate of change tell us?
What does instantaneous rate of change tell us?
How fast function changes at one point
What property does a tangent line have at a point on a curve?
What property does a tangent line have at a point on a curve?
Same slope as the curve at that point
What happens to secant lines as the second point approaches the first?
What happens to secant lines as the second point approaches the first?
They approach the tangent line
For at P(1,1), what is the gradient of secant through ?
For at P(1,1), what is the gradient of secant through ?
For at P(1,1), what value does the gradient approach as ?
For at P(1,1), what value does the gradient approach as ?
For at P(2,9), using Q(2.01,...), what is the estimated instantaneous rate?
For at P(2,9), using Q(2.01,...), what is the estimated instantaneous rate?
Approximately 12.06
In the plant growth example, what does a gradient of 30 cm²/week at represent?
In the plant growth example, what does a gradient of 30 cm²/week at represent?
Instantaneous rate of area change
How can you improve the accuracy of estimating instantaneous rate of change?
How can you improve the accuracy of estimating instantaneous rate of change?
Use points that are closer together
The instantaneous rate of change at point equals what?
The instantaneous rate of change at point equals what?
Gradient of tangent line at that point
For at , why is using better than using ?
For at , why is using better than using ?
Points are closer, giving better estimate