Do you have the answers like A,B,C,D?
No they are not equivalent and if you are trying to get a mixed number try dividing
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)]
Answer:
(6, 2)
Step-by-step explanation:
How about "miles per hour?" I drive "45 miles per hour" on my way into town.
That's a unit rate.
Did you know that 2 pints = 1 quart? You could write this rate / ratio as
2 pints
---------
1 qt
or as
(1/2 qt)
----------- this is a measure of one quantity per unit of another quantity.
1 pint
