For the curve C with equation y = x^4 -8x^2 + 3, (a) find the coordinates of each of the stationary points.

Anonymous
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Step 1; Apply the deviation on both both sides
\frac{dy}{dx} = \frac{dy}{dx} (x^4 - 8x^2 + 3)
Step 2: Differentiate the given equation
\frac{dy}{dx} = 4x^3 - 16x
4x^3 - 16x = 0
Step 3: Solve the equation of unknown values
[math] 4x[(x^2) - 4] = 0[/math]
x^2 = 4
x = 0, x=\pm2
Step 4: Substitute the x-coordinate in the given equation to calculate the y-coordinate, vise versa.