Max & Min Points (Turning Points) (Leaving Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Max & Min Points (Turning Points)
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What are turning points on a graph?

Points where slope is flat

What is the slope at a stationary point?

Zero slope

How do you find the x-coordinates of turning points?

Solve f′(x)=0f'(x)=0

For f(x)=3x2−2x3f(x)=3x^2-2x^3, what are the turning points?

(0,0)(0,0) and (1,1)(1,1)

What is the second derivative test used for?

Find max or min

When is a point a local minima?

f′′(x)>0f''(x)>0

What indicates a local maxima in the second deriv test?

f′′(x)<0f''(x)<0

At x=0x=0 for f′′(x)=6−12xf''(x)=6-12x, what is the concavity?

Concave up

When the second derivative is negative, what's the graph's shape?

Concave down

What is a turning point?

Graph maximum/minimum

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

Join 100,000+ Leaving Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.