Answer:
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Step-by-step explanation:
h(x) = ln x / √(x² + 1)
You can either use quotient rule, or you can rewrite using negative exponents and use product rule.
h(x) = (ln x) (x² + 1)^(-½)
h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)
h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)
h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))
h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒ 
Then, substitute the given values we have;

Combine like terms, we have;

Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
Answer:
90 square kilometers
Step-by-step explanation:
1. split the figure in small definite sections
2. find the areas of the smaller sections.
3. find the sum of the areas.
Answer:
11.3 units
Step-by-step explanation:
Let's find the length of one of the boxes.

Let's simplify c down to 1.41.
Now, there are 8 of these little boxes for the perimeter, let's multiply.

That can be simplified to the nearest tenth - 11.3
Hope this helped!