The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
.636 o\would be the answer
Answer:
I believe its y=5(4)^x
Step-by-step explanation:
The equation is supposed to look like y=ab^x
a is basically where it all starts, so where the y meets the 0
- so the 5 in the y's place meets the 0
b is what you're multiplying by on the y's side, which is by 4 every time
and the x is the exponent and since there is no exponent you leave it as x
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you