(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.
Answer:number of oranges needed to make 24 fluid ounces of juice. the student writes this proportion: equation explain the error in the student's work. ... Astudent uses the ratio of 4 oranges to 6 fluid ounces to find the number of ... Ratio is the relationship between two numbers, defined as the quotient of one number for the other.
Step-by-step explanation: hope it helps
Answer:
- the way its set up its kind of confusing ↑
Step-by-step explanation:
S represents the best distance from 1 and 0 to represent 33 1/3%
