Calculus generally

There are 27 NRICH Mathematical resources connected to Calculus generally
Operating machines
problem

Operating machines

Age
16 to 18
Challenge level
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What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Implicitly
problem

Implicitly

Age
16 to 18
Challenge level
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Can you find the maximum value of the curve defined by this expression?
Power Up
problem

Power Up

Age
16 to 18
Challenge level
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Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x
2D-3D
problem

2D-3D

Age
16 to 18
Challenge level
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Two circles of equal size intersect and the centre of each circle is on the circumference of the other. What is the area of the intersection? Now imagine that the diagram represents two spheres of equal volume with the centre of each sphere on the surface of the other. What is the volume of intersection?
Fractional Calculus III
article

Fractional Calculus III

Fractional calculus is a generalisation of ordinary calculus where you can differentiate n times when n is not a whole number.
Fractional Calculus II
article

Fractional Calculus II

Here explore some ideas of how the definitions and methods of calculus change if you integrate or differentiate n times when n is not a whole number.
Fractional Calculus I
article

Fractional Calculus I

You can differentiate and integrate n times but what if n is not a whole number? This generalisation of calculus was introduced and discussed on askNRICH by some school students.