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The differential of ln(x) is x^-1 or 1/x. Because we have x^3 + 2 inside the bracket we have to differentiate this term also and multiply this with the other term. For example, d/dx of x^3 +2 is equal to ...

When dividing fractions by fractions with a common factor:

(a/c) / (b/c) = (a/c) * (c/b) = (ac/bc) we can cancel the common factor to get (a/b).

So in this question we can do the same:

In order to work out 30% off something you can use two methods. I'll explain both.

Method one:

1. Work out 30% of the total price. This would be the same as working out 10% (dividing by 1...

First we need to be clear how to construct a proof by induction. It has two main parts, the base case and the inductive step. Let P(n) denote that the statement ...

the differential of cos(x) is -sin(x). the differential of cos(2x) is -2sin(2x). you can think of it as differentiating what is in the bracket and putting that in front of the -sin(2x). when differentiati...