# Resources tagged with: Differentiation

### There are 16 results

Broad Topics >

Calculus > Differentiation

##### Age 16 to 18

Challenge Level

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

##### 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?

##### Age 16 to 18

Challenge Level

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

##### 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.

##### Age 14 to 18

An article introducing the ideas of differentiation.

##### 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.

##### 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.

##### 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?

##### 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.

##### 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.

##### Age 16 to 18

Challenge Level

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

##### 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.

##### Age 16 to 18

Challenge Level

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

##### 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.

##### Age 16 to 18

Challenge Level

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

##### Age 16 to 18

Challenge Level

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