Determine the –coordinate(s) at which the graph of has a horizontal tangent.

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Determine the xx–coordinate(s) at which the graph of f(x)=3xx2+1f(x)=\dfrac{3x}{x^{2}+1} has a horizontal tangent. (a) x=1x=1\ only (b) x=−1 and x=1x=-1\text{ and }x=1 (c) The\ graph\ has\ no\ horizontal\ tangents (d) x=0x=0\ only

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