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Most of the differentiation problems require us to apply one of the well known rules, be it product rule, quotient rule or chain rule. But those problems have one thing in common:  explicite formula for y...

All quadratic equations can be written in the form ax² + bx + c = 0, where a, b and c are constants. Firstly, check whether you can easily factorise the equation into the form (x + p)(x + q) = ...

f(x) = 2x² - 12x +7

• First take out a factor of 2 so that we have the coefficient of x² as 1.        f(x) = 2[x² - 6x +7/2]

• Next, complet...

a) A stationary point is any point on the curve that is flat, still, not increasing or decreasing. Another way to think of this is the gradient at a stationary point = 0

Firstly make an equation fo...

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x ...