Given:

To find:
The value of f'(x).
Solution:
Formulae used:



Chain rule:
![\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
Where C is an arbitrary constant.
We have,

Differentiate with respect to x.


Therefore, the required values is
.
Answer:
x = 27.
Step-by-step explanation:
log9 x = 3/2
By the definition of a log:
9^3/2 = x
x = (√(9)^3)
x = 3^3
x = 27.
Answer:
miss him :(
Step-by-step explanation:
We know that the width of the garden is =
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch