test review help please

Question

Answer 1

(1)

Given function is

 

Apply formula :

 

Instantaneous rate of change at x = 3 is

Instantaneous rate of change at x = 3 is " 17/16 ".

Answer 2

2)

Apply formula :

 

Answer 3

3)

Apply derivative both sides with respect to x to find slope .

Apply formulas :

The line is passing through point ( 3 , -10 ).So substitute x = 3.

Slope point form of the line is

Substitute  point ( 3 , -10 ) and slope m = -7.

Tangent line is 7x+y-11=0.