Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.
1 answer:
Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
You might be interested in
240 is probably multiplied some other number if theres another number on there to multiply or divide by.
Answer:
112
Step-by-step explanation:
Multiply 7 times 4 to get the amount of cars made in one week
7 x 4= 28
Then multiply that by how many weeks there are
4 x 28= 112
。☆✼★ ━━━━━━━━━━━━━━ ☾
The equation is:
slope = rise/run
Rearrange for run:
run = rise/slope
Substitute values in:
run = 6/(1/20)
Solve:
run = 120
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
。☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
35 I think
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
85 x 4 is equal to 340.