Modelling with Differentiation inc. Optimisation (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 optimization involve in the context of differentiation?
What does optimization involve in the context of differentiation?
Finding max or min values of a function
In the second derivative test, what does indicate?
In the second derivative test, what does indicate?
Local minimum at that point
What does indicate in the second derivative test?
What does indicate in the second derivative test?
Local maximum at that point
What is the first step in modelling with differentiation?
What is the first step in modelling with differentiation?
Define the problem
With 100 m of fencing for a rectangle, what dimensions maximize area?
With 100 m of fencing for a rectangle, what dimensions maximize area?
25 m by 25 m
What is the maximum area for a rectangle with 100 m of fencing?
What is the maximum area for a rectangle with 100 m of fencing?
625 square metres
If , how is the derivative written?
If , how is the derivative written?
For , what is when cm?
For , what is when cm?
What equation do you solve to find critical points?
What equation do you solve to find critical points?
For a sector with area and , what is the minimum ?
For a sector with area and , what is the minimum ?
40 cm