Given for , calculate at . State whether the curve is concave upward or concave…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Given

x = \ln t,\; y = t^{2}\ln t

for

t > 0

, calculate

\dfrac{d^{2}y}{dx^{2}}

at

t = 1

. State whether the curve is concave upward or concave downward at this point.

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