Quiz

Quiz: Second Derivative as Rate of Change of Gradient

Edexcel 9MA0 A-Level Mathematics

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Steps in this lesson (10)

1
Text

Welcome! Building on your knowledge of differentiation, we'll explore how the second derivative represents the rate of change of the gradient. Let's get started!

2
Multiple ChoiceInteractive

What does the second derivative represent?

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3
Multi-SelectInteractive

Which of the following are true about the second derivative? (Select all that apply)

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4
Fill in the BlankInteractive

The second derivative is denoted as {{blank0}} or {{blank1}}.

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
Math EquationInteractive

Find the second derivative of f(x) = x³.

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7
Multiple ChoiceInteractive

If the second derivative of a function is positive, what does this indicate about the graph?

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8
typedAnswer

Match the items on the left with their correct pairs on the right

9
Multi-SelectInteractive

Which statements are true about points of inflection? (Select all that apply)

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10
Math EquationInteractive

Differentiate f(x) = 5x² - 4x + 3 twice to find f''(x).

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