Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)
Answer:
Patty's Printing costs $20 less than Guy's Graphix for 20 jersey's.
Step-by-step explanation:
1st. Find the total cost of Guy's Graphix:(7.50*20)+30=$180
2nd. Find the total cost of Patty's Printing:(5.50*20)+50=$160
3rd. Subtract to confirm answer:180-160=$20
Answer:
Step-by-step explanation:
W = S
18. 4x^1/4
hope this helps!
didnt know about 20. but im confident u can figure it out!
Answer:
4.
Step-by-step explanation:
5+4+3+2+1 does not equal 10, from what i've learned. :)