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What does differentiation actually mean?

Differentiation is defined as the rate of change of a function. Imagine we had a function f(x), which we shall let equal x 2 . We all know what the graph of x 2 looks like. The derivative of x 2 is 2x. This ...
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Answered by Toby T. • Maths tutor
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Differentiation from first principles

Differentiaiton from principles requires the use of the following formula which is provided in the formula booklet: f'(x) = lim h->0 ((f(x+h) - f(x))/(h)) Consider a function: f(x) = 6x 2 Clearly we know ...
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Why is (-1)*(-1)=1?

Even though this question seems trivial to most people with some mathematical expertise, it actually cuts quite deep into an intuitive understanding of what multiplication truly is. When one writes an expres...
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Answered by Rudolfs T. • Maths tutor
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In a lottery, 6 numbered balls are drawn from a pool of 59. Calculate the probability of scoring a jackpot. There used to be 49 balls in the pool. Calculate by how much the addition of 10 balls has decreased the probability of scoring a jackpot

The question has to do with probability, and the branch of mathematics which models such situations is called probability theory. A jackpot is, of course, when we correctly predict all the numbers on the bal...
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Answered by Marcin M. • Maths tutor
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What are the key elements to include in your Math assignment?

1) Enthusiasm. The examiners want to see your interests and passion in Math exploration in your everyday life. So, do research, get inspired and look for mathematic application in your interests before you d...
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Answered by Grace X. • Maths tutor
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