10 66 points previous answers scalcet7 28027 find the

10. 6/6 points | Previous Answers SCalcET7 2.8.027.
Find the derivative of the function using the definition of derivative.
State the domain of the function. (Enter your answer using interval notation.)
$$( −∞ ,3]
State the domain of its derivative. (Enter your answer using interval notation.)
$$( −∞ ,3)
g ( x ) =
3 −
g' ( x ) =
$$ − 12 √ 3 − x
g' ( x ) =
3 ).
x
)
x
+
− x
− x
x )
− x
− x
− x
x
11. 3/3 points | Previous Answers SCalcET7 2.8.013.
A rechargeable battery is plugged into a charger. The graph shows the percentage of full capacity that the battery reaches as a
function of time t elapsed (in hours).

12/14/16, 4(13 PM hw08S2.8
(a) What is the meaning of the derivative
(b) Sketch the graph of
C' ( t )?
Page 12 of 16

12/14/16, 4(13 PM hw08S2.8
What does the graph of tell you?
Page 13 of 16
Solution or Explanation
(a) is the instantaneous rate of change of percentage of full capacity with respect to elapsed time in hours.
(b) The graph of tells us that the rate of change of percentage of full capacity is decreasing and approaching 0.