Answer:

Step-by-step explanation:
We are given that:

And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:

In conclusion, F'(0) = 15.
Answer:
1 to 2, 2 to 4, 3 to 6
Step-by-step explanation:
4s double is 8, 5s double is 10, so whichever you choose just double it.
In mathematically, 8/4 = 2, 10/5 = 2, so x to 2x
Answer -.3
So what I did was subtract 10-7 which is 3 then subtract 8-18 which is -10 then divide 3 divide by -10 and you get -.3
9514 1404 393
Answer:
BC ≈ 5.87
Step-by-step explanation:
The law of sines is applicable.
a/sin(A) = 7/sin(50°)
Angle A is the complement of angle B, so we have ...
a = 7(sin(40°)/sin(50°))
a ≈ 5.8736974
The length of BC is about 5.87 units.