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given y = x^2 - 7x + 5, find dy/dx from first principles

using the delta method for first principles derivation: Define the differential: dy/dx = limit as h -> 0 f(x+h) - f(x)/h where f(x) = ysubstitute the equation into the differential: dy/dx = (x+h)^2 - 7*(x...
DB
Answered by Dafydd B. • Maths tutor
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Does social competition within a family affect conversational tone and features within a Family meal.

INTRODUCTIONThroughout any family there is a constant hierarchal system. As mentioned by Psychologist Erika Krull every family has their own “Financial Structure, Social Structure and Hierarchal Structure” w...
JR
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How is the theme of jealousy explored in Shakespeare's 'Othello'?

Through his portrayal of Othello, our tragic hero who we see transform from a noble soldier to an aggressive madman, Shakespeare expresses the harsh realities of jealousy. Iago declares to Othello, 'O beware...
JR
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How should I answer this exam q: "To what extent do you agree that Achilles’ behaviour in Book 24 is very different to his behaviour elsewhere in the Iliad?"

This question is worth 20 marks and, when done in exam conditions, should take you 20 minutes to answer, so I would suggest giving yourself this amount of time when practising at home, to simulate exam condi...
HH
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Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.

The Taylor expansion/theorem is used to express any function as a power series about a certain point. Using the given formula of the Taylor expansion, we can approximate a trigonometric function (for example...
MT
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