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First find dy/dx:

dy/dx = 4x - 4

And thus at (3,15):

dy/dx = 12 - 4 = 8 = m (as m is the gradient of a curve)

So using y - y₁ = m(x - x₁) where...

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...