Given:
The function is
To find:
The derivative of the given function.
Solution:
Chain rule of differentiation:
![[f(g(x))]'=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Df%27%28g%28x%29%29g%27%28x%29)
Product rule of differentiation:
![[f(x)g(x)]'=f(x)g'(x)+g(x)f'(x)](https://tex.z-dn.net/?f=%5Bf%28x%29g%28x%29%5D%27%3Df%28x%29g%27%28x%29%2Bg%28x%29f%27%28x%29)
We have,
Differentiate with respect to x.
![f'(x)=(x-5)^2[2(3-x)(0-1)]+(3-x)^2[2(x-5)(1-0)]](https://tex.z-dn.net/?f=f%27%28x%29%3D%28x-5%29%5E2%5B2%283-x%29%280-1%29%5D%2B%283-x%29%5E2%5B2%28x-5%29%281-0%29%5D)
On further simplification, we get
Therefore, the derivative of the given function is .
Answer:
h+5(h+4)=40
Brian: 3 1/3 hours
Annie: 39 2/3 hours
Step-by-step explanation:
h+5(h+4)=40
Solve the equation
h+5h+20=40
6h=20
h=10/3 or 3 1/3
Annie = 5(10/3 + 4)= 39 2/3
Answer:
C. 4.6
Step-by-step explanation:
If you subtract 3.0 from 1.4 you get 1.6, which is the can be added to 3.0 to find the missing value.
F(t)=(0.5)^t *180 is the answer because (0.5)^0=1 (0.5)^1=0.5 (0.5)^2=0.25
Answer:
it is 15
Step-by-step explanation:
