(a)
![f'(x) = \frac{d}{dx}[\frac{lnx}{x}]](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Cfrac%7Blnx%7D%7Bx%7D%5D)
Using the quotient rule:
For maximum, f'(x) = 0;
(b) <em>Deduce:
</em>
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
, since ln(e) is simply equal to 1
Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
, as required.
170 divided by 80 is 2.125, so 80 goes in 170, 2.125 times
B=30. all you have to do is minus 9 from both sides then multiply 6 to each side so all thats left is the variable
Answer:
the answer is b
Step-by-step explanation:
the line crosses the y-intercept at 4 which is the intercept and the slope is 3/1 which is 3
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).
