The Graph of the Derivative Function (VCE SSCE Mathematical Methods): Quizzes

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The Graph of the Derivative Function
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10 questions from this quiz

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What does the derivative function tell us about the original function?

The gradient at every point

What type of function is the derivative of a quadratic function?

A linear function

What type of function is the derivative of a cubic function?

A quadratic function

Where does the derivative graph cross the xx-axis?

At turning points

When the original function is increasing, what is true about f(x)f'(x)?

f(x)>0f'(x) > 0

How does the degree change when taking a derivative?

Drops by one

What is the derivative of a linear function with constant gradient?

A constant function

At which type of points is a function NOT differentiable?

Sharp corners or cusps

For f(x)=xf(x) = |x|, what is f(x)f'(x) when x>0x > 0?

11

When the original function is decreasing, what is true about f(x)f'(x)?

f(x)<0f'(x) < 0

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