Second Derivative (Leaving Cert Mathematics): Quizzes

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Second Derivative
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10 questions from this quiz

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What does the second derivative measure?

Curvature of a graph

What is the notation for the second derivative?

f′′(x)f''(x)

The first derivative indicates the?

Rate of change of yy

If f′(x)f'(x) increases, what about f′′(x)f''(x)?

Positive

What is the second derivative of a constant?

00

Second derivative tells us about?

All of above

If f′′(x)>0f''(x) > 0, the curve is?

Concave up

If f′′(x)<0f''(x) < 0, the graph is?

Concave down

For f(x)=x2f(x)=x^2, what is f′′(x)f''(x)?

22

The second derivative of a straight line?

00

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Curve Sketching

Implicit Differentiation

Rates of Change

Trig/Exponential Functions

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Curve Sketching

Implicit Differentiation

Rates of Change

Trig/Exponential Functions

Explore Leaving Cert Mathematics Flashcards by Topics

The Basics

Curve Sketching

Implicit Differentiation

Rates of Change

Trig/Exponential Functions

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Curve Sketching

Implicit Differentiation

Rates of Change

Trig/Exponential Functions

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