Question

Evaluate f(6) and f(6.1) and use the results to approximate f '(6). (Round your answer to one decimal place.)
f(x) = x(5 − x)

Answer 1

I got -7

Answer 2

Please keep in mind that:
\[f'(x) = 5 - 2x\]

Answer 3

ok...

Answer 4

so \[f^\prime(6) = -7\]

Answer 5

@misty1212 help

Answer 6

@Michele_Laino

Answer 7

that's right!

Answer 8

its wrong

Answer 9

Evaluate the function at x=6. Then evaluate the function at x=6.1. This will give you two ordered pairs, (6, y1) and (6.1, y2). Calculate the slope of the function using these two points. That is the approximation of the derivative at this point.

Answer 10

ok I did dat already but I keep getting -7

Answer 11

What do you get for y1 and y2?

Answer 12

y1=-6,y2=-6.71

Answer 13

Great. Now \[m=\frac{ y_2-y_1 }{x_2-x_1 } =\frac{ -6.71--6 }{ 6.1-6 }=?\]