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Let log a be some number A and log b be some number B

now the natural log of something is the equivalent of saying a=e^A and b = e^B

So a*b = e^A * e^B which by rules of ind...

Firstly, in order to solve this problem we would need to differentiate f(x) to get f'(x).

To differentiate this we would use the quotient rule. The quotient rule is that:

dy...

Maths is all about practise. Once you have covered a topic, you should do as many practise questions as possible to help you understand the topic. Always show your working out on your exam paper to gai...

The first step is to differentiate the equation of the curve in order to find the gradient of the tangent at the curve. Remember that when differentiating polynomials, we multiply the index of the vari...

The first step is to find dy/dx.

To do this you must first expand the brackets.

x² + y² + 2xy = xy²

Then differentiate each te...