Let z = √(x^2 +2x +4).
Then your expression becomes
y = (z^2)^z
y = z^(2z)
And the derivative with respect to x is
y' = z^(2z)*(2z' +2ln(z)z')
= (2z')(1 +ln(z))(z^(2z))
Now
z' = (2x +2)/(2√(x^2 +2x +4)
= (x +1)/√(x^2 +2x +4)
So, your derivative is
y' = 2(x +1)/√(x^2 +2x +4) * (1 + (1/2)ln(x^2 +2x +4)) * (x^2 +2x +4)^√(x^2 +2x +4)
For x = 0, this becomes
2(1)/√4 * (1 +(1/2)ln(4)) * 4^√4
= 16*(1 + ln(2))
Answer:
I´m pretty sure it´s 2.(-3,6).
Step-by-step explanation:
Answer:
C) y = 7 x minus 3
Step-by-step explanation:
Function A has a slope of -8
Function B has a slope of -2
Function C has a slope of 7
Function D has a slope of 6
The function with the steepest slope is function C.
Answer:
6/11 or .54
Step-by-step explanation:
What you do is you take the number of white shirts and black shirts and add them together. That equals 12.
The number of shirts all together is 22. What you do is put it into a fraction 12/22.
You will then reduce that to get 6/11.
6/11 or .54 is your answer.
Answer:
x = 55
Step-by-step explanation:
The "equals" sign means both sides are equal. You want to isolate the x. So subtract 22 from both sides.
62+15-22 = x
62-22 = 40; 40 + 15 = 55
x = 55