Answer:
The first derivative of 
is 
.
Step-by-step explanation:
Let . we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:
![y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right]](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Csqrt%7B%5Cfrac%7B1%2Bx%7D%7B1-x%7D%20%7D%5Ccdot%20%5Cleft%5B%5Cfrac%7B-1-x-1%2Bx%7D%7B%281%2Bx%29%5E%7B2%7D%7D%20%5Cright%5D)
![y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right]](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Csqrt%7B%5Cfrac%7B1%2Bx%7D%7B1-x%7D%20%7D%20%5Ccdot%20%5Cleft%5B-%5Cfrac%7B2%7D%7B%281%2Bx%29%5E%7B2%7D%7D%20%5Cright%5D)
The first derivative of is .
Answer:
314 cm²
Step-by-step explanation:
It's not the point O, but the circle O, a point has no area.
The area of a circle is given by the formula A = π r²
We don't have r (radius), but we have the diameter, which is double the radius. So, r = d / 2 = 20 cm / 2 = 10 cm
Now, we can plug r directly into the equation:
A = π r² = π 10² = 100π = 314 cm²
<span>284
Hope this helps. c:</span>
Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are 
The length of the line segment is given by the distance formula i.e.
Insert the values,
Therefore, the length of line segment TU is 15 units
Answer:
It makes comparing magnitudes easier. It is much easier to estimating numbers easier. you can easily say that 0.0000000009 is smaller than 0.0000001 and even say but how much, and it reduces the amount of time you have to read the number, since instead of having 0s, you have the amount of 0s.
