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Begin with the equation: y = x⁴-8x²+3. Differentiate by bringing the power down and reducing the power by 1 of each of the terms with x in and constant terms (3) become zero. dy/dx =...

Set the function equal to y so y=1-2x^3now rearrange this to set x as the subject 2x^3= 1-yx^3 = (1-y)/2x = ((1-y)/2)^1/3therefore the inverse is f^-1 = ((1-x)/2)^1/3

This is done using the product rule: dy/dx=udv/dx +vdu/dxset y=uv therefore u=x^2 v=cos(x)differentiate these with respect to x du/dx= 2x as you multiply by the power and then subtract the power by 1dv/dx...

Imagine a long line stretching from the present moment all the way back into the past. We can explain these two tenses by the way we mark them on the line. The preterite tense, generally representing past...

In order to do that firstly you need to ask yourself why are you applying for this specific course? It is a good practise to start it with writing down bullet points with all of the ideas. Then you can se...