a. find the derivative of f at x. that is, fi...
a. find the derivative of f at x. that is, find f(x). b. find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function. f(x)=121/x; x = - 11, x = 1 a. f(x)=-121/x² b. the slope of the tangent line at x = - 11 is -1. the slope of the tangent line at x = 1 is .
Answer
# Explanation:
## Step1: Recall derivative result
We already know from part a that $f'(x)=-\frac{121}{x^{2}}$.
## Step2: Substitute x = 1
To find the slope of the tangent - line at $x = 1$, substitute $x = 1$ into $f'(x)$. So $f'(1)=-\frac{121}{1^{2}}=-121$.
# Answer:
-121