Use the limit process to find the slope of the graph of $7 x - 6 x ^ { 2 }$ at $( 3 , - 33 )$ .
A) $36$
B) $- 29$
C) $25$
D) $43$
E) $- 5$

Question

Use the limit process to find the slope of the graph of $7 x - 6 x ^ { 2 }$ at $( 3 , - 33 )$ .
A) $36$
B) $- 29$
C) $25$ 
D) $43$
E) $- 5$

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 $7x - 6x^2$ with respect to $x$ is $7 - 12x$. Substituting $x = 3$ into this derivative gives $7 - 12(3) = 7 - 36 = -29$. This is the slope of the graph at the point $(3, -33)$.

Use the Limit Process to Find the Slope of the Graph