Points of Inflection (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Points of Inflection
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 happens at a point of inflection?

The concavity of the function changes

What must f′′(x)f''(x) do at x=cx = c for x=cx = c to be a point of inflection?

Change sign

What does f′′(x)>0f''(x) > 0 indicate about the graph?

The graph is concave up (cup shape)

What does f′′(x)<0f''(x) < 0 indicate about the graph?

The graph is concave down (cap shape)

For f(x)=x3−3x2+4xf(x) = x^3 - 3x^2 + 4x, where is the point of inflection?

At x=1x = 1

Why does f(x)=x4−4x3+6x2f(x) = x^4 - 4x^3 + 6x^2 have no inflection point at x=1x = 1?

f′′(x)f''(x) does not change sign at x=1x = 1

If f′′(x)=0f''(x) = 0 at a point, what can we conclude?

It might be an inflection point

What is the first step to find points of inflection?

Find the second derivative f′′(x)f''(x)

How do we test if a point is an inflection point?

Check sign of f′′(x)f''(x) left and right

For f(x)=x3−3x2+x−2f(x) = x^3 - 3x^2 + x - 2, when is ff convex?

When x>1x > 1

Explore Edexcel A-Level Mathematics Revision Notes by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore Edexcel A-Level Mathematics Model Answers by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore Edexcel A-Level Mathematics Flashcards by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Join 100,000+ A-Level students studying Quizzes with us.

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