Find the equation of tangent to the curve #y=1/(x-3)# at #x=4#?
2 Answers
Equation of tangent is
Explanation:
Equation of a tangent to curve
Here we have
As
Hence, equation of tangent is
or
or
graph{(x+y-5)(y-1/(x-3))=0 [-6.83, 13.17, -5.04, 4.96]}
Explanation:
We should know that an equation of a line can be formed by
First , we can find the first derivative
Then, we can find the slope of the curve at
Here we get
As, we know that the
Therefore, the intersection point
Now, we have enough information to form the equation of tangent line.
Equation of the tangent line at
Here is the answer. Hope this can help you :)