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.
-$$f ( x ) = 2 x ^ { 2 } + x - 3 \text { at } ( 4,33 )$$
A) 5
B) 17
C) 15
D) 19

Question

Quizplus · Accepted Answer

The slope of the tangent line is the derivative of the function evaluated at the given point. The derivative of $ f(x) = 2x^2 + x - 3 $ is $ f'(x) = 4x + 1 $. Evaluating at $ x = 4 $, we get $ f'(4) = 4(4) + 1 = 17 $.

Choose the One Alternative That Best Completes the Statement or Answers