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To differentiate use formula.

multiply factor by power then minus one from power (where x is invloved)

dy/dx = 12x^3 - 24x^2

d^2y/dx^2 = 36x^2 - 48x (this is just a further differenti...

Let's say that we have two events and we'll call them event A and event B. If these events were mutually exclusive then these events would not be able to occur at the same time. For example, if Real Madri...

A special rule, the chain rule, exists for differentiating a function of another function (finding dy/dx).

Consider the expression cos x² . We call such an expression a ‘function of a fu...

√75 = 5√3, therefore 

x√48 = √75 + 3√3

x√48 = 5√3 + 3√3

x(√16 x √3) = 5√3 + 3√3

4x√3 = 5√3 + 3√3

4x√3 = (5 + 3)√3

4x√3 = 8√3

x√3 = 2√3

x = 2

Product rule:      dy/dx = uv' + u'v dy/dx = 2x(3x + 1) + x^2(3) dy/dx = 2x(3x + 1) +3x^2 dy/dx = 6x^2 + 2x + 3x^2 dy/dx = 9x^2 + 2x dy/dx = x(9x + 2)