CPM Homework Help : APCALC Problem 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 $z = 1$ .

Step 1:

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

Step 2:

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

Step 3:

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

Compute without a calculator