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d/dx(4x³ + 2x) =  d/dx (4x³) + d/dx(2x)

                       = 4(3x²) + x

                       = 12x² + x

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 ...

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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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 ...

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...