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whenever you move a term across the equals sign, the sign changes. So first we are going to move all of the x terms onto the left side and all of the number terms onto the right side, remembering that if ...

Make use of identity sech^2(x) = tan^2(x) + 1

=> 2{tan^2(x) + 1} = 3 + tan(x)

Multiply out brackets and rearrange

=> 2tan^2(x) - tan(x) - 1 = 0

Use quadratic formula w...

Firstly, ensure that you have all of the notes from class (or from tutoring sessions) from throughout the year. If you do not have all of the topics that are covered in the exam in your book, then you nee...

If you have a differentiable function, stationary points are, by definition, those points where the derivative of the function is 0. Considering that the derivative of a function represents the rate of in...

Let's look at the function y = 3x^2 + 6x + 3. Differentiating it gives us the derivative of y: dy/dx = 6x + 6. The original function has three terms. Let's look at each term:

1. 3x^2 (^2 means t...