The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is?

Solution:

Given function y = ln(x/2)

The slope of the tangent is calculated by differentiating the given function at x = 4

y’ = d/dx (ln(x/2))

y’ = 1/ (x/2))

We know that d/dx of ln(x) = 1/x

y’ = 2/x

y’ at x = 4 we get, 2/4 = 1/2

Hence, the slope of the tangent line of the given graph is 1/2.

The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is?

Summary:

The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is 1/2.