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NRICH topics: Calculus Differentiation of parametric and implicit functions

Resources tagged with: Differentiation of parametric and implicit functions

Content type:
Age range:
Challenge level:

There are 3 NRICH Mathematical resources connected to Differentiation of parametric and implicit functions, you may find related items under Calculus.

Broad Topics > Calculus > Differentiation of parametric and implicit functions

Problem Primary curriculum Secondary curriculum

Squareness

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Folium of Descartes

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

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Implicitly

Can you find the maximum value of the curve defined by this expression?

Age 16 to 18
Challenge Level Yellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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