calculus derivatives help?
the temperature T (in degrees Fahrenheit) of a person during an illness can be modeled by the equation T=-0.0375t^2+.3t+100.4 where t is time in hours since the person started showing signs of a fever.
find dT/dt and explain its meaning in this situation.
Please explain step by step so I can understand to finish the rest of my homework. Thank you!
Update:Thank you 'so alone i will wait' for your thoughtful explanation. It was a HUGE help. As for What ever...I am not cheating. Far from it actually. I am actively working on my calculus problems. Using notes from class, youtube explanation videos, and asking questions on yahoo answers is helping me achieve the correct answers. I can just go to the back of the book and write down what the answer is, but that doesn't help me learn HOW to do the problem. Once I learn how to do these types of problems getting step by step procedures, I will begin to understand it so I can do the rest of them on my own. But until I understand HOW...I can't arrive at an answer. Thanks for your concern though asshole.
Comments
dT/dt means differentiate T (the function) with respect to time (t). To differentiate you must multiply the power by the co-efficient and decrease the power by one in the function:
dT/dt = 2*0.0375t^(2-1) + 0.3
dT/dt= 0.075t + 0.3
Meaning in the situation:
The derivative of T shows the rate of change of the fever, thus giving an expression for how quickly the fever is progressing at a particular time.
CHEATER! You will never learn anything if you get someone else to do it for you.