The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
Hello!
We will write and solve this equation below.
6.
x-24=35
Add 24 to both sides.
x=59
7.
4c=28
Divide both sides by 4.
c=7
I hope this helps!
2√50 × 3√32 × 4√18
=2(5√2) × 3(4√2)× 4(3√2)
=2(5)(2)(3)(4)(4)(3√2)
=2880√2
The awnsor is b hope this helped
