Answer:
this is the equation of the tangent line to the curve from the point (1, 1/e^2)
Step-by-step explanation:
to find the tangent line we need to find the curve's derivative.
we'll be using the quotient formula: , here
This is the equation of the slope of the curve. By finding the slope of the curve at (1, 1/e^2) we'll also be finding the slope of the tangent to the curve at (1, 1/e^2).
the x-coordinate is 1, so using x =1
this is the slope of the tangent.
now to find the equation of the line:
here, m is the slope.
this is the equation of the tangent line to the curve from the point (1, 1/e^2)