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#### Resources tagged with Turning points similar to Slide:

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### There are 11 results

Broad Topics > Pre-Calculus and Calculus > Turning points

### Curvy Catalogue

##### Stage: 5 Challenge Level:

Make a catalogue of curves with various properties.

### Folium of Descartes

##### Stage: 5 Challenge Level:

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

### Witch of Agnesi

##### Stage: 5 Challenge Level:

Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.

### Scientific Curves

##### Stage: 5 Challenge Level:

Can you sketch these difficult curves, which have uses in mathematical modelling?

### Curve Fitter

##### Stage: 5 Challenge Level:

Can you fit a cubic equation to this graph?

### Least of All

##### Stage: 5 Challenge Level:

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

### Quick Route

##### Stage: 5 Challenge Level:

What is the quickest route across a ploughed field when your speed around the edge is greater?

### Bird-brained

##### Stage: 5 Challenge Level:

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

### Calculus Analogies

##### Stage: 5 Challenge Level:

Consider these analogies for helping to understand key concepts in calculus.

### Curve Fitter 2

##### Stage: 5 Challenge Level:

Can you construct a cubic equation with a certain distance between its turning points?

### Patterns of Inflection

##### Stage: 5 Challenge Level:

Find the relationship between the locations of points of inflection, maxima and minima of functions.
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