For problems 1 46 differentiate the given function.
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52. Find the tangent line to at
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53. Find the tangent line to at .
54. Determine where is increasing and decreasing.
55. Is increasing or decreasing more in the interval ?
56. Determine where is
increasing and decreasing in the interval .
57. If the position of an object is given by
. Determine where, if anywhere, the object is
not moving in the interval .
58. Determine where
is increasing and decreasing in the interval .
59. Determine where is increasing and decreasing.
60. What percentage of
is the function decreasing?
61. The position of an object is given by . During the first 10 hours of motion (assuming
the motion starts at ) what percentage of the time is the
object moving to the right?
62. For the function determine each of the following.
(a) The interval
on which the function is defined.
(b) Where the
function is increasing and decreasing.