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

Problem
Primary curriculum
Secondary curriculum
### Quick Route

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Loch Ness

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Slide

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

Problem
Primary curriculum
Secondary curriculum
### Exponential Trend

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

Problem
Primary curriculum
Secondary curriculum
### Bird-brained

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

Problem
Primary curriculum
Secondary curriculum
### Turning to Calculus

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Impedance Can Be Complex!

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Ramping it Up

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Calculus Countdown

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Operating Machines

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

Problem
Primary curriculum
Secondary curriculum
### Integration Matcher

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Least of All

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

Problem
Primary curriculum
Secondary curriculum
### Towards Maclaurin

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

Article
Primary curriculum
Secondary curriculum
### An Introduction to Differentiation

An article introducing the ideas of differentiation.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### Bend

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

Problem
Primary curriculum
Secondary curriculum
### Generally Geometric

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