Search over 10,000 free study notes

Implicit differentiation is used when the function you need to differentiate is not in the form y = f(x). For example: y⁴ + 3x² - 10 + 2y² = 4xThe first step is to differe...

First expand the bracket (x-3)² separately to give x² - 6x +9 Next multiply by the 4 outside the brackets to give 4x² -24x +36 Now all the terms have been expanded you can...

A depression is when a wedge of warmer air forces its way into a larger body of cold air. This leads to several distinctive weather patterns. Where the warm air meets the cold air, a front is formed. Warm...

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations)
12x + 8y = 48 (3)
(3) - (1)
12y = 36
Divide through by 12
y = 3
Sub y = 3 into eq...

It is worth noting that this question can be argued in various ways, and as long as you give evidence for your answer you will be given credit in an exam. Shakespeare presents Iago as a 'malcontent', a ch...