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Maths
A Level

How do I add up the integers from 1 to 1000 without going insane?

Suppose you are asked by your teacher to sum all the integers from 1 up to 1000. You might be thinking they must hold some kind of grudge against you. If you try to calculate the sum by adding on each ...

MB
Answered by Matthew B. Maths tutor
6355 Views

Differentiate y=(4x - 5)^5 by using the chain rule.

Notation: I use the ^ in the title question to indicated 'to the power of' and I use an asterisk * (or star) to indicate 'multiplied by' in the answer, to avoid confusion with the x term! 

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JE
Answered by Joseph E. Maths tutor
12957 Views

Find the derivative of x^x

y = x^x -- Yikes! Doesn't that look ugly. 
It's mostly the x^x part, since ... to the x is fine, and x to the ... is fine.
We must split the two x's in order to continue. 
Perhaps we ...

MD
Answered by Mayur D. Maths tutor
5273 Views

What is a logarithm?

In simple terms a log is asking what power do I need to raise the base to to get that answer.For example log232.In this case the "base" is 2.So what power do you have to raise 2 to, t...

JS
Answered by Janhvi S. Maths tutor
4795 Views

How does finding the gradient of a line and the area under a graph relate to real world problems?

Practical applications of calculus occur more often than you would think. The most common example of them being applied to real world problems is through the relationship between distance and time. The...

PW
Answered by Peter W. Maths tutor
7075 Views

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