Question

Determine all values of x, (if any), at which the graph of the function has a horizontal tangent y(x)=x^(4)-256x+2

Answer 1

\[y'=4x^3-256\]
\[4x^3-256=0\]
\[4x^3=256\]
\[x^3=64\]
\[x=4\]

Answer 2

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