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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 straight lines come in the form y = mx + c, and in thi...

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 * du/dx = 2 cos(u).

(Note: proton and 1 H + are the same thing) 1. Draw a table with the following headings: δ / ppm, integral, splitting, observations 2. Count how many peaks there are in the spectrum. (Doublets, triplets etc....

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 with its respective salt. What's going o...

There are many ways to solve quadratic equations including completing the square, factorisation and using the quadratic equation. Factorisation involves breaking the quadratic equation into two sets of brack...