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How do you differentiate a polynomial?
Differentiate each term separately using the power rule: for axⁿ, multiply by the power and reduce the power by one, giving naxⁿ⁻¹. A term in x becomes a constant and a…
What are the laws of logarithms?
The three main laws are: log a + log b = log(ab), log a − log b = log(a ÷ b), and log(aⁿ) = n log a. They hold for any base as long as both logs use the same base. A…
How do you integrate a polynomial?
Integrate each term separately: for axⁿ, add one to the power and divide by the new power, giving axⁿ⁺¹/(n + 1). Always add a constant of integration, + c, for an…
How do I write a good introduction for an essay?
A good introduction does three things in a few sentences: it opens with a relevant point about the topic, it shows you understand what the question is asking, and it…
How do you analyse a poem in an exam?
Work out what the poem is about and how the speaker feels, then explain how the poet creates that meaning through language, structure and form. For each point, quote a…
When do you use the subjunctive in French?
The subjunctive is used after que when the main clause expresses a wish, a necessity, an emotion, a doubt, or after certain conjunctions. Typical triggers are il faut…
What is the law of supply and demand?
The law of demand says that as the price of a good rises, the quantity demanded falls. The law of supply says that as the price rises, the quantity supplied rises. The…
What is inflation and what causes it?
Inflation is a sustained rise in the general price level, which means each unit of money buys less. It is usually measured by the change in a consumer price index over a…