
Differentiate both sides, treating
as a function of
. Let's take it one term at a time.
Power, product and chain rules:



Product and chain rules:




Product and chain rules:




The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

Isolate the derivative, and solve for it:


(See comment below; all the 6s should be 2s)
We can simplify this a bit by multiplying the numerator and denominator by
to get rid of that fraction in the denominator.

Answer:
625
Step-by-step explanation:
it is essentially 5*5*5*5
Answer:
Correct choice is B
Step-by-step explanation:
For the numbers -1 and 59, find the difference 59-(-1):
since 59-(-1)=60 and
(two arithmetic means tells you there will be three intervals), two arithmetic means will be
The only correct sequence is -1, 19, 39, 59.
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
You have 50 ways because if there are 10 different types of prizes with 5 prizes you can just multiply that to get your different ways to select the prizes.