Problem Statement

{3,5,7,9}
5+2
7-5

Find an equation of the tangent line at the point indicated.

s(t) = ln(7 - 5 t), t = 1

 
Step 1

Question Sequence

Question 1

Recall that a tangent line to a graph of y = f(x) at a point P(a, f(a)) is the line through the point P of slope . The equation of the tangent line in point-slope form is y - = ยท(x - a).

Incorrect
Correct

 
Step 2

We must now find the slope of the tangent line at the point of tangency, (1,ln(2)), by calculating the derivative of s(t) and evaluating the derivative at t = 1.

Question Sequence

Question 3

Recall the derivative of ln(x).

A.
B.
C.
Incorrect
Correct

 
Step 3

Write the equation of the tangent line.

Question 6

m = , n =

Correct.
Incorrect.