What is the equation of the tangent line of #f(x)=1/x-sqrt(x+1) # at #x=3#?
2 Answers
Explanation:
First we begin by finding the value of
Next, in order to find the slope of the tangent at the point
For
To find the equation of the tangent line, we can use the Point-Slope form of a line:
Here's the graph:
graph{(1/x-sqrt(x+1)-y)((-13/36)x - 7/12 - y)=0 [-.1, 6, -3, 2.368]}
The equation of tangent line is
Explanation:
slope at point
having slope of