Use the limit process to find the slope of the graph of $ 6 x-4 x^{2} $ at $ (7,-154) $.
A) -2
B) 62
C) 34
D) 56
E) -50

Question

Use the limit process to find the slope of the graph of $ 6 x-4 x^{2} $ at $ (7,-154) $.
A)  -2 
B) 62
C) 34
D) 56
E) -50

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 $6x - 4x^2$ with respect to $x$ is $6 - 8x$. To find the slope at the point $x = 7$, substitute $7$ into the derivative: $6 - 8(7) = 6 - 56 = -50$.

Use the Limit Process to Find the Slope of the Graph