Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.
Answer:
y = 0.87x + 0.02
Step-by-step explanation:
Euros as a function of dollars means that euros is y and dollars are x.
We are given 2 points: (4, 3.5) and (10, 8.72)
slope = (8.72 - 3.5)/(10 - 4)
slope = 5.22/6 = 0.87
y = 0.87x + b
3.5 = 0.87(4) + b
b = 0.02
y = 0.87x + 0.02
Answer:
-3
Step-by-step explanation:
-20-15+30+2
-35+32
-3