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)]
For this case, the first thing you should do is use the distance between points formula.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
d = 20.1246118
Rounding off we have:
d = 20 units
Answer:
The distance, to the nearest unit, between your house and the subway stop is:
B. 20
Answer:
y=-10
Step-by-step explanation:
In this problem you're trying to figure out what y equals.
First you subtract 11 from both sides.
30=-3y
Then, you divide each side by -3 to find y.
-10=y
y=-10
312-170=142
142÷2=71
170+71=241
241+71=312
train A weighs 241 tons
Factor out common term - 5 :
- 25 x - 5 =
- 5 ( 5 x + 1 )
Answer A
