Resources tagged with: Differentiation
There are 16 NRICH Mathematical resources connected to Differentiation, you may find related items under Calculus.
Broad Topics > Calculus > Differentiation
Quick Route
What is the quickest route across a ploughed field when your speed around the edge is greater?
Loch Ness
Draw graphs of the sine and modulus functions and explain the humps.
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.
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.
Bird-brained
How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
Turning to Calculus
Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
Impedance Can Be Complex!
Put your complex numbers and calculus to the test with this impedance calculation.
Ramping it Up
Look at the calculus behind the simple act of a car going over a step.
Calculus Countdown
Can you hit the target functions using a set of input functions and a little calculus and algebra?
Operating Machines
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Integration Matcher
Can you match the charts of these functions to the charts of their integrals?
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.
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.
An Introduction to Differentiation
An article introducing the ideas of differentiation.
Bend
What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?
Generally Geometric
Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.