### Home > APCALC > Chapter 3 > Lesson 3.3.4 > Problem3-132

3-132.

Without your calculator, write the equation of the line tangent to $g ( z ) = \large\frac { z ^ { 7 } + 5 z ^ { 6 } - z ^ { 3 } } { z ^ { 2 } }$ at $z = 1$

Rewrite $g(z)$ as a polynomial: $g(z)=z^5+5z^4-z$

Find $g ^\prime (z)$ by using the Power Rule.

Evaluate $g ^\prime (z)$ at $z = 1$.