What is the equation of the line tangent to # f(x)=(e^x-x)^2 # at # x=3#?
1 Answer
Oct 23, 2016
Explanation:
First, we must differentiate the function,
at the point 3
so our tangent line is equal to
Now we have to solve for c using the point where x=3,
so our tangent line is,
which can be approximated to (since e is irrational),