Question

Help with Calculus please?

The temperature T of food put in a freezer T=(700)/(t^2+4t+10) where t is the time in hours.

Find the rate of change of T with respect to t at each of the following times:
A) t=1
B) t=5

I don't understand what this question is asking. Please help?!

Answer 1

Step 1 :

The function is .

The rate of change of with respect to means .

Find .

Consider .

Rewrite the function as .

Apply derivative on each side with respect to .

Thus,

.

Step 2 :

A)

When ,

Step 3 :

B).

When ,

Solution :

When , the rate of change of with respect to is .

When , the rate of change of with respect to is .