Other tags that relate to Tangled Trig Graphs
Graph sketching. Turning points. Biology. Graphing software and graphical calculators. Trigonometric functions and graphs. Transformation of functions. Symmetry. Limits of Sequences. Inequalities. Maths Supporting SET.There are 11 results
Broad Topics > Calculus > Turning points
Witch of Agnesi
Age 16 to 18 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.
Folium of Descartes
Age 16 to 18 Challenge Level:
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Calculus Analogies
Age 16 to 18 Challenge Level:
Consider these analogies for helping to understand key concepts in calculus.
Discrete Trends
Age 16 to 18 Challenge Level:
Find the maximum value of n to the power 1/n and prove that it is a maximum.
Exponential Trend
Age 16 to 18 Challenge Level:
Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.
Quick Route
Age 16 to 18 Challenge Level:
What is the quickest route across a ploughed field when your speed around the edge is greater?
Patterns of Inflection
Age 16 to 18 Challenge Level:
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Bird-brained
Age 16 to 18 Challenge Level:
How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
Least of All
Age 16 to 18 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.
NRICH is part of the family of activities in the Millennium Mathematics Project.