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#### Resources tagged with Differentiation similar to Exponential Trend:

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### There are 16 results

Broad Topics > Pre-Calculus and Calculus > Differentiation

### 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.

### Loch Ness

##### Stage: 5 Challenge Level:

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

### Quick Route

##### Stage: 5 Challenge Level:

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

### An Introduction to Differentiation

##### Stage: 4 and 5

An article introducing the ideas of differentiation.

### 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.

### 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.

### 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.

### 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?

### 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.

### Impedance Can Be Complex!

##### Stage: 5 Challenge Level:

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

### Ramping it Up

##### Stage: 5 Challenge Level:

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

### Integration Matcher

##### Stage: 5 Challenge Level:

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

### 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.

### 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?

### 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.

### Calculus Countdown

##### Stage: 5 Challenge Level:

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