If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate 
.
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function 
is 
. (This is the aptly-named "power rule" for differentiation.)
I think the second one does
<span>Randall’s family drove to the beach for vacation. Assume they drove the same speed throughout the trip. The first day, they drove 130miles in 22 hours. The second day, they drove 325 miles in 55 hours. The third day, they arrived at the beach by driving 390 miles in 66 hours.</span>
The <em>correct answer</em> is:
C) The quantity of distance measured in feet depends on the quantity of time measured in minutes.
Explanation:
The rate of an airplane's descent would be found using the distance it descends and the amount of time that takes.
In this situation, the amount of time that passes causes the distance the plane descends to change; this means that the distance depends on the time.
Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
