Quiz

Quiz: Concavity and Convexity from fʺ(x)

Edexcel 9MA0 A-Level Mathematics

11 Steps9 Questions

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Building on what you've learned about derivatives and second derivatives, let's test your understanding of concavity and convexity!

Multiple ChoiceInteractive

What does it mean when fʺ(x) > 0?

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Multi-SelectInteractive

Which of the following statements about concavity and convexity are true? (Select all that apply)

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Fill in the BlankInteractive

A curve is concave when the {{blank0}} derivative is {{blank1}}.

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MatchingInteractive

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

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Math EquationInteractive

Given f(x) = x³, calculate fʺ(2).

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Multiple ChoiceInteractive

What happens at a point of inflection?

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Multi-SelectInteractive

Which of the following functions are concave on the interval x > 0? (Select all that apply)

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Fill in the BlankInteractive

The {{blank0}} derivative determines the {{blank1}} of the curve.

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typedAnswer

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

Multiple ChoiceInteractive

Which of the following is true when fʺ(x) = 0?

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