3 years ago

F(x) = x4/5(x − 6)2 find the critical numbers of the function

1 answer:

5 0

You can find the critical numbers by finding the derivative of the function and solving for 0.

F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)

Taking the derivative:
F'(x) = (8/5)(2x - 6)
F'(x) = 0 at x = 3,

critical number = 3

You might be interested in

Please answer both with work,please use a paper and picture, thanks

Irina-Kira [14]

Answer:

a. $\frac{\textbf{17}}{\textbf{4}}$

b. $\frac{\textbf{3}}{\textbf{8}}$

Step-by-step explanation:

a. $\textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}}$

A mixed fraction of the form $a\frac{x}{y} = a + \frac{x}{y}$

$\therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4}$

$= 4 + \frac{1}{4}$

$= \frac{\textbf{17}}{\textbf{4}}$

b. $\textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}}$

A mixed fraction of the form $-c\frac{a}{b} = - c - \frac{a}{b}$

$\therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8}$

$= 1 - \frac{5}{8}$

$= \frac{8 - 5}{8}$

$= \frac{\textbf{3}}{\textbf{8}}$

Hence, the answer.

8 0

3 years ago

Find the difference in altitude between 4,367 feet on a mountain peak and -281 feet on a valley floor

snow_lady [41]

The answer is 4,648 feet

3 0

3 years ago

after working for 25 hours, Lamar made $375. After working 40 hours, Lamar made $600. Predict how much he would make after 10 ho

Tcecarenko [31]

375÷25=15
600÷40=15
so his pay is 15 dollars per hour.
now multiply 15×10=150

6 0

3 years ago

Read 2 more answers

Is the sum of the

Olin [163]

Answer
Yes

Explanation
I just know

8 0

3 years ago

I need help w this soon

Shtirlitz [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers