From the geometric interpretation of derivative it follows that a tangent line to the graph of the function f(x) at the point (x0,f(x0)) is parallel to the x axis if, and only if f′(x0)=0.
Then, we have the equation
f′(x)=(x4−ax3−4)′=4x3−3ax2=x2(4x−3a)=0
It has two solutions: x1=0,x2=43a.
Answer: Either x=0 or x=43a.
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