Sketching Gradient Functions (AQA A-Level Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What does the gradient function represent at each point ?
What does the gradient function represent at each point ?
Slope of at that point
Where does the graph of lie when is increasing?
Where does the graph of lie when is increasing?
Above the -axis
What is the sign of when is decreasing?
What is the sign of when is decreasing?
What is the value of at a stationary point of ?
What is the value of at a stationary point of ?
At a local maximum of , how does cross the -axis?
At a local maximum of , how does cross the -axis?
From positive to negative
At a local minimum of , how does cross the -axis?
At a local minimum of , how does cross the -axis?
From negative to positive
When is concave up, what is happening to ?
When is concave up, what is happening to ?
is increasing
When is concave down, what is happening to ?
When is concave down, what is happening to ?
is decreasing
At an inflection point of , what typically happens to ?
At an inflection point of , what typically happens to ?
Reaches a minimum or maximum
How should the gradient function be sketched in terms of smoothness?
How should the gradient function be sketched in terms of smoothness?
As a smooth curve without sharp corners