### Home > APCALC > Chapter 3 > Lesson 3.4.1 > Problem3-152

3-152.

Write an equation for $z^\prime$ if $z(x) = 3x^2 + 5x + 1$. Then, write the equation of the tangent line in point slope form at $x = -2$. Homework Help ✎

To find $h$ and $k$ (the point): $h$ is given as $x = −2$, therefore $k$ is $z(−2)$.

To find $m$ (the slope):evaluate $z^\prime(x)$ at $x = −2$.