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: x = -2
Step-by-step explanation: 3x+7 = -x-1; add 1 to both sides: 3x+8=-x; subtract 3x from both sides: 8 = -4x; divide by -4 on both sides: -2 = x
Answer:
11484m
Step-by-step explanation:
if 1914 = 1hour
Then 6hours= ?
6/1 ×1914
= 11484m
