Search by Topic

Resources tagged with Differentiation similar to Area L:

Filter by: Content type:
Stage:
Challenge level:

There are 16 results

Broad Topics > Pre-Calculus and Calculus > Differentiation

Slide

Stage: 5 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.

Towards Maclaurin

Stage: 5 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

Stage: 4 and 5

An article introducing the ideas of differentiation.

Integration Matcher

Stage: 5 Challenge Level:

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

Operating Machines

Stage: 5 Challenge Level:

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

Turning to Calculus

Stage: 5 Challenge Level:

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

Quick Route

Stage: 5 Challenge Level:

What is the quickest route across a ploughed field when your speed around the edge is greater?

Least of All

Stage: 5 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.

Ramping it Up

Stage: 5 Challenge Level:

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

Loch Ness

Stage: 5 Challenge Level:

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

Bird-brained

Stage: 5 Challenge Level:

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

Impedance Can Be Complex!

Stage: 5 Challenge Level:

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

Bend

Stage: 5 Challenge Level:

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

Exponential Trend

Stage: 5 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.

Calculus Countdown

Stage: 5 Challenge Level:

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

Generally Geometric

Stage: 5 Challenge Level:

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