Consider on the closed interval

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider h(x)=3xx2+4h(x)=\dfrac{3x}{x^{2}+4} on the closed interval [−2,3][-2,3]. Identify every xx in this interval where the tangent to the graph of hh is horizontal.

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