CPM Homework Help : CALC Problem 3-132

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

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 $z = 1$ .