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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:
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...
To differentiate you must times by the power then take one away from the power. Therefore x^2 + 7x + 4 would differentiate to become 2x + 7. The generic rule for differentiation can be written as dy/dx (x...
Here, we see that the term in x in the equation is 6, so we start by looking for a perfect square where the second term would be 6 : we get 6/2 = 3 so we try (x+3)2. However, (x+3)2 = xAnswered by Marine S. • Maths tutor2617 Views
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