Choose the one alternative that best completes the statement or answers the question.
Find the slope of the tangent line to the graph at the given point.
-$$f ( x ) = x ^ { 2 } + 11 x - 15 \text { at } ( 1 , - 3 )$$
A) 11
B) 26
C) 13
D) -9

Question

Quizplus · Accepted Answer

The slope of the tangent line to the graph of $f(x) = x^2 + 11x - 15$ at a given point can be found by taking the derivative of $f(x)$ and evaluating it at the x-coordinate of the given point. The derivative of $f(x)$ is $f'(x) = 2x + 11$. Evaluating this at $x = 1$ gives $f'(1) = 2(1) + 11 = 13$.

Choose the One Alternative That Best Completes the Statement or Answers