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

3-152.

Find $z^\prime(x)$ if $z(x) = 3x^2 + 5x + 1$. Then, find the equation of the tangent in point slope form at $x =-2$.

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 $x =-2$.