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Resources tagged with Differentiation similar to Curved Square:

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Broad Topics > Pre-Calculus and Calculus > Differentiation

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Operating Machines

Age 16 to 18 Challenge Level:

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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Calculus Countdown

Age 16 to 18 Challenge Level:

Can you hit the target functions using a set of input functions and a little calculus and algebra?

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Towards Maclaurin

Age 16 to 18 Challenge Level:

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

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Turning to Calculus

Age 16 to 18 Challenge Level:

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

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Generally Geometric

Age 16 to 18 Challenge Level:

Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.

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An Introduction to Differentiation

Age 14 to 18

An article introducing the ideas of differentiation.

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Integration Matcher

Age 16 to 18 Challenge Level:

Match the charts of these functions to the charts of their integrals.

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Ramping it Up

Age 16 to 18 Challenge Level:

Look at the calculus behind the simple act of a car going over a step.

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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?

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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.

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Loch Ness

Age 16 to 18 Challenge Level:

Draw graphs of the sine and modulus functions and explain the humps.

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Bend

Age 16 to 18 Challenge Level:

What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?

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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.

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Impedance Can Be Complex!

Age 16 to 18 Challenge Level:

Put your complex numbers and calculus to the test with this impedance calculation.

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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.

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Slide

Age 16 to 18 Challenge Level:

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.