Measuring the Rate of Change at a Point on a Curve (AQA A-Level Biology): Quizzes

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Measuring the Rate of Change at a Point on a Curve
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What is a tangent to a curve?

A line touching the curve at one point

What does the tangent line represent at a point on a curve?

The instantaneous rate of change

How should the tangent line touch the curve at the point of interest?

Touch only, not cross at that point

What forms the hypotenuse when constructing the right-angled triangle?

The tangent line

Which formula calculates the gradient of the tangent?

change in ychange in x\frac{\text{change in y}}{\text{change in x}}

In the product formation example, what is change in y if mass goes from 21 g to 29 g?

8 g

What is the gradient if change in y is -50 g and change in x is 9 minutes?

-5.6 g min⁻¹

What does a negative gradient indicate?

Decreasing values

Why must units be included in the final answer?

They show what changes per unit time

What does the gradient of the tangent equal?

The rate of change at that point

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