help with my test review

Question

Answer 1

(1).

The equation is .

Differentiate with respect to x.

Apply quotient rule of derivative:

 

Answer 2

(2).

The function is .

To find f(2), substitute x = 2 in the above function.

Therefore, the point is.

Find the slope of tangent line:

Slope of tangent line at (2, 32).

.

Point-slope form of line equation: , where m = slope and is point.

.

The tangent line equation is y = 64x - 96.