CPM Homework Help : APCALC Problem 8-132

Multiple Choice: The equation of the line normal to the curve $y = x^4 + 3x^3 + 2$ at the point where $x = 0$ is:

$y = x$

$y = 13x$

$y = 0$

$y = x + 2$

$x = 0$

Hint:

A 'normal line' is perpendicular to a 'tangent line' at the point of tangency. So first find the equation of the tangent line, then manipulate its slope.