Search over 10,000 free study notes

This question tests a variety of mathematical techniques and knowledge which is integral to A-level mathematics.

Note that the highest power of a variable function in the mentioned equatio...

Let y = tan(x)

Recall the definition of tan(x) as sin(x)/cos(x)

Therefore y = sin(x)/cos(x)

Use the quotient rule, which states that for y = f(x)/g(x), dy/dx =...

The quick answer is that d/dx a^x = ln(a) * a^x. But why?

Well, let's go through the steps so we can understand why the formula works.

Firstly, a^x can be written as (e^(ln(...

We are tasked with differentiating y = sin(x²)ln(5x)
This function is actually a product of the functions:
sin(x²) and ln(5x)
Therefore the product rule will be re...