Use the limit process to find the slope of the graph of $ 4 x-8 x^{2} $ at $ (3,-60) $.
A) $ -12 $
B) 52
C) 28
D) 48
E) $ -44 $

Name: Use the limit process to find the slope of the graph of $ 4 x-8 x^{2} $ at $ (3,-60) $. A) $ -12 $ B) 52 C) 28 D) 48 E) $ -44 $
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Question

Quizplus · Accepted Answer

The slope of the graph at a point is given by the derivative of the function at that point. The function is $ f(x) = 4x - 8x^2 $. The derivative is $ f'(x) = 4 - 16x $. Evaluating at $ x = 3 $, we get $ f'(3) = 4 - 16(3) = 4 - 48 = -44 $.

Use the Limit Process to Find the Slope of the Graph