Posted by Nat on .
Based on the following table of values for the function w(t), answer the questions below.
t= 100 110 120 130 140 150
w(t)= 2.6 7.3 12.7 19 26.1 34.1
a) Which of the following best describes the derivative of w(t)?
A. changes sign
B. always positive
C. always negative
b) Which of the following best describes the second derivative of w(t)?
A. always negative
B. changes sign
C. always positive

Calculus Help 
Nat,
t and w(t) are a table with corresponding values.
(100,2.6), (110,7.3), (120,12.7), (130,19), (140,26.1), (150,34.1) 
Calculus Help 
Anonymous,
Sketch the graph first.
You will notice it's increasing and concave up. This should help with answering.
(if not, the solution is always positive for both)