Answer:
aida's work is the correct answer
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
I suppose you mean
Differentiate one term at a time.
Rewrite the first term as
Then the product rule says
Then with the power and chain rules,
Simplify this a bit by factoring out 
:
For the second term, recall that
Then by the chain rule,
So we have
and we can simplify this by factoring out 
to end up with
Answer: 2 d - 3
Step-by-step explanation:
Here, the number of dozen eggs in one refrigerator = d
According to the question,
There are 3 fewer dozen eggs in another refrigerator.
⇒ The number of eggs in another refrigerator = d - 3
Thus, the total dozen of eggs in both refrigerator = the number of dozen eggs in first refrigerator + the number of dozen eggs in second refrigerator
= d + d - 3
= 2 d - 3
Which is the required expression.
Write the conjugates of them then FOIL both the top and bottom, then factor
