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First, we differentiate y = x^2 + 3x + 2 to find the slope of the curve at any given x point:

dy/dx = 2x + 3

So at x = 1, dy/dx = 2 + 3 = 5

We know that straig...

Using the chain rule with u = 2x:

y = sin(2x) becomes y = sin(u)

dy/dx = dy/du * du/dx

dy/du = cos(u)

du/dx = 2

So dy/dx = dy/du * ...

(Note: proton and ¹H⁺ are the same thing)

1. Draw a table with the following headings:

δ / ppm, integral, splitting, observations

2. Coun...

What is a buffer?

A buffer is a solution that resists a change in pH when small amounts of acid or base are added. It is composed of either a weak acid or a weak base wit...

There are many ways to solve quadratic equations including completing the square, factorisation and using the quadratic equation.

Factorisation involves breaking the quadratic equation in...