Calculate the coordinates of the stationary points of the following function: � ( � ) = 0.5 � 4 − 4 � 2 f(x)=0.5x 4 −4x 2

Question

Calculate the coordinates of the stationary points of the following function: � ( � ) = 0.5 � 4 − 4 � 2 f(x)=0.5x 4 −4x 2
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Solution 1

To find the stationary points of the function f(x) = 0.5x^4 - 4x^2, we first need to find the derivative of the function.

The derivative of f(x) = 0.5x^4 - 4x^2 is f'(x) = 2x^3 - 8x.

Next, we set the derivative equal to zero and solve for x to find the x-coordinates of the stationary points:

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