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if y=3x^2 + x -4
then
dy/dx = 6x + 1
setting this equal to zero gives
6x + 1 = 0
so then
x = -1/6
putting this x value back into the original equation gi...
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
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