What is the equation of the tangent line of #f(x)=-1/x# at #x=3#?
1 Answer
Jan 6, 2016
The equation of the tangent line is:
Explanation:
By the power rule, we can find
Evaluating at the given
The point that we're interested in is
So, we know that the tangent line goes through the point
Thus, we can find the equation of that line through the 'point-slope' method.
Which can also be written as