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a) y = 9 -6x^2 - 12x^4
dy/dx = -12x - 48x^3
b) At stationary points dy/dx = 0.
-12x - 48x^3 = 0
48x^3 + 12x = 0
4x^3 + x = 0
x (4x^2 + 1) = 0
Either ...
The formula you are given is an equation which is written in terms of x. So we will be differentiating with respect to x.
When differentiating we take the current power and place that in front of ...
dy/dx = 3x^2
The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X2 = X3 then X x 2 is simply 2X. So we are left with X3 + 2X. Both ...
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