For the curve defined by and for

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

Problem

For the curve defined by

x(t)=e^{t}

and

y(t)=\ln(t+2)

for

t>-2

, explain why the curve has no horizontal tangent lines on the interval

0\le t \le 3