What is the local linearization of #y = (7+5x^2)^(-1/2)# at a=0?
1 Answer
It is
Explanation:
We have
At the chosen point, the derivative
So the liearization is horizontal:
General Case
The local linearization (aka linear approximation), of function
We have
Writing the equation of the tangent line in point-slope form, we get
Adding
Here is a picture of the graph of the function in this question. As you zoom in centered at
graph{y=(7+5x^2)^(-1/2) [-3.467, 3.465, -1.35, 2.117]}