Use the limit process to find the slope of the graph of $6 x - 8 x ^ { 2 }$ at $( 7 , - 350 )$ .
A) $- 10$
B) $118$
C) $62$
D) $112$
E) $- 106$

Question

Quizplus · Accepted Answer

The slope of the graph of a function at a given point can be found using the derivative of the function. The derivative of $6x - 8x^2$ with respect to $x$ is $6 - 16x$. Substituting $x = 7$ into this derivative gives $6 - 16(7) = 6 - 112 = -106$. This is the slope of the graph at the point $(7, -350)$.

Use the Limit Process to Find the Slope of the Graph