The curve , passes through the point . Decide whether the curve is concave up or…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The curve

x=e^{t}

y=te^{t}

passes through the point

(e,e)

. Decide whether the curve is concave up or concave down at that point and support your answer with a brief justification.