Search over 10,000 free study notes

Expand (1+0.5x)4 , simplifying the coefficients. Step 1. Draw Pascal's triangle to find the coefficients       1 ;  1  2  1 ; 1  3  3  1 ; 1  4  6   4  1. As you can see, each row starts ...

To solve Inx + In3 = In6 we must follow some basic log rules, log_b(mn) = log_b(m) + log_b(n)if we compare this with the...

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(...