How do you find the slope of the graph f(x)=3(5-x)^2 at (5,0)?

1 Answer
Jun 4, 2017

$0$

Explanation:

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder}}$

$f ' \left(x\right) = m \text{ at } x = a$

$f \left(x\right) = 3 \left(25 - 10 x + {x}^{2}\right) = 75 - 30 x + 3 {x}^{2}$

$\Rightarrow f ' \left(x\right) = - 30 + 6 x$

$\Rightarrow f ' \left(5\right) = - 30 + 30 = 0$