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
.
X=2 is the answer do you need to know why
Answer:
4.5 inches to the nearest tenth
Step-by-step explanation:
V=4/3πr^3
Divide both sides by 4/3π:
r^3 = V / 4/3π
r = ∛ (V / 4/3 π)
When V = 371 inches:
r = ∛ (371/ 4/3 π)
= 4.46 in
Answer
After 13.15 years the population of both towns will become equal.
Step-by-step explanation:
Population of the city Anville is given by using the compound interest formula
The formula of compound interest
A = p( 1+r/n)^n*t
using this we get
P1 = 16000 (1 +
) ^1*t
Population of the city of Brinker will be
P2 = 11000( 1 +
) ^1*t
now to make equal population in both towns
P1=P2
16000 (1 +
) ^1*t = 11000( 1 +
) ^1*t

t = 13.15 years
Answer:
1
Step-by-step explanation:
As can be seen, for h(t) where t is a multiple of 6, we get -6. Since 150 is a multiple of 6, 153 is 3 more and since the graph visually repeats every 6 units, we can see that h(t) when t is a (multiple of 6) + 3 = 1
Thus h(153)=1