MathNet 2021 — Part 08 Question 52
Math Olympiad Vault · MathNet 2021 — Part 08
At which points on the curve $f(x)=x^3-2x^2+3$ does the tangent have inclination $135^\circ$ to the $x$-axis?
$T_1(1,-4)$ and $T_2(-2,0)$.
$T_1(1,-4)$ and $T_2(2,0)$.
$T_1(1,0)$ and $T_2(-1,4)$.
$T_1(1,2)$ and $T_2\left(\frac13,\frac{28}9\right)$.
$T_1(1,2)$ and $T_2\left(\frac13,\frac{76}{27}\right)$.