Resources tagged with: Differentiation

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There are 16 NRICH Mathematical resources connected to Differentiation, you may find related items under Calculus.

Broad Topics > Calculus > Differentiation

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?

Loch Ness

Age 16 to 18
Challenge Level

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

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.

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.

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.

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.

Impedance Can Be Complex!

Age 16 to 18
Challenge Level

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

Ramping it Up

Age 16 to 18
Challenge Level

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

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?

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?

Integration Matcher

Age 16 to 18
Challenge Level

Can you match the charts of these functions to the charts of their integrals?

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.

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.

An Introduction to Differentiation

Age 14 to 18

An article introducing the ideas of differentiation.

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?

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.