Remember the chain rule.
L(x)=f(g(x))
L'(x)=f'(g(x))g'(x)
take the derivative of f(g(x)). just treat them like they are variables. so you get:
h'=f'(g(x))g'(x)
now plug in your x value and evaluate:
h'(1)=f'(g(1))(g'(1))
substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)
h'(1)=(-5)(-3)=15
Answer:
Yes!
Step-by-step explanation:
Here is a trick. If you add up all of the numbers in the number, and if that is divisible by three, the number is divisible by three. So...
5+3+6+1=15
15 is divisible by 3,
so 5361 is divisible by 3
(if you wanted to know, it is 1787)
Apparently it’s all of them
Answer:
624 miles
Step-by-step explanation:
We know that there are 12 months in a year, and you need to find out the total miles she walks in two years, which is 24 months.
So we multiply 26(24)
This is equal to 624 miles
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic
10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)
Final Answer: 10
