What is the equation of the tangent line of #f(x) = (e^(x)-1)/(x^2-1)# at #x=2#?
1 Answer
Equation of tangent is
Explanation:
The slope of the tangent is the same as the slope of curve at that point, which is given by the value of derivative of the function at that point.
Hence, slope of tangent to curve
Now
and using quotient rule
=
and slope at
Hence, equation of tangent is
or
or
graph{(9y+(e^2-4)x-5e^2+11)(x^2y-y-e^x+1)=0 [-4.785, 5.215, -1.18, 3.82]}