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)]
Assuming this is a rectangular prism, here are the formulas for the volume and surface area.
V=l×w×h
SA=lw+lw+lh+lh+wh+wh
I didn't want to give the answer away, but I wanted to head you in the right direction. Hope this helped!
That would be 180 cuz you lose a total of 5 pounds per 6 months so30 pounds. Then 210 minus 30 is 180
Answer is 5.85 see picture
