Chapter 1.
1.1 Problem Statement
2
{2,3,4,5}
$b*$b
$bb*$bb+(3/2.)*pow($bb,3/2.)
($b+$bb)*($b+$bb)
round($N/$D,2)
Use the Quotient Rule to calculate the following derivative.
Find 
if 
.
1.2 Step 1
We are asked to evaluate the derivative of the function w at z = $bb.
Recognizing that is a quotient of two functions, we will need to use the Quotient Rule to calculate its derivative.
Question Sequence
Question
1.1
Recall the Quotient Rule for differentiation.
If f and g are differentiable functions, then %3Bg(x)%7D&doborder=false&bottom=0)
is differentiable for all x such that vgqQ4rrJJ6TzH1CADRMijczVPHBTCr8Oz8FXuibUbZdy/FKQVtgjDPbeZGFTmwsRrPCDlw== and
hp3Y9ysciGTRLrzl25gXN4GN0NJdeLPeqYN/SyLfUkFcZt/wrZ1ML57GOgDyL+OLbAy8naE4SXpqv6XBURgzYOyZ9vCRVU4VFFNwPkQgkF68XHkUqThk4LhtNdGqdMuEoAUulYzNLfmIscLlJPVIbSEG6iv+IHwXqDDzzWPFz6HCd4wSg41pd0ie8LkquPDNYmzUWGq11+YypFo6+O9mLj5g5H34KGISJVtkxJN9tsO0sRVw2zDvIubgJeWaeKvIKoahwgD5x0mAf/P5HvdNJaD5l2HID6Id0iFNnjEVTVtg2hcgFMNlGX6Lk8h8Z3EbuqgFlDAZ8KaReHIreTE8UrzURVUq1tWtARwkfG3ChiQEiyJ8FlAhgFSDCRrkGLecWxOCplY3MPYTzogKbcgc/Ev9caXW7MvKpaVl1mgOeA9a0vyhnWKxz2mQbKBx5yYGHvJQLYl5IBC1JmQzqaqDkcdrdB+igcuORs2RZHpMlCV2rFFamJPjl76kyieDfgLYkWpiEO1aWmri7x1YqlrXPN83o/ZCZU01rb7a2wHrvCkQ9J/t7VtSVAxGtH4/A7kTj9YH3n1ODtTbEUsZgSeFUK+PS470vvBOl0wTbWWGP8coLyAcvfy/HKsB5SPQBj6Jy3gPHK4Hw/EQlui2CBedkr7codbH8Vw+5ZjrhgGNjQIWJ5+r/NyeiIp7aUUVquWokBx9j2eqs8dBpGA5smDdSfBkQHxr/kag/MNbrVZ07K5AkQQ9LC2kICAihrpJ+Y7uYz6etY121M1KHfpxOsbZz6CjkS1NpPhom/rAigAqrKbgG/Ymc65rHAcclHcRKAHXxB4wCQ==
1.3 Step 2
Let %3D%40DIV%7Bf(z)%3Bg(z)%7D&doborder=false&bottom=0)
. We need to find f'(z) and g'(z) substitute into the quotient rule. Use the power rule and the sum rule to find f'(z) and g'(z).
1.4 Step 3
Find and simplify 
using the quotient rule with substituting %3D2z&doborder=false&bottom=0)
and %3D%40DIV%7B1%3B2%7Dz%40SUP%7B-1%2F2%7D%2B1&doborder=false&bottom=0)
where appropriate.
Question
1.4
f'(z)-f(z)g'(z)%3B(g(z))%40SUP%7B2%7D%7D&doborder=false&bottom=0)
(2z)-z%40SUP%7B2%7D(%40DIV%7B1%3B2%7Dz%40SUP%7B-1%2F2%7D%2B1)%3B(%40RT%7Bz%7D%2Bz)%40SUP%7B2%7D%7D&doborder=false&bottom=0)
%40SUP%7B2%7D%7D&doborder=false&bottom=0)
,
where n = OGFKhb0ogMHSTNkc+TeBGYQF5Us=.
1.5 Step 4
Find by substituting z = $bb into %40SUP%7B2%7D%7D&doborder=false&bottom=0)
.
Question
1.5
%40SUP%7B3%2F2%7D%3B(%40RT%7B%24bb%7D%2B%24bb)%40SUP%7B2%7D%7D&doborder=false&bottom=0)
= qjqZz1N+poo=
(Round your answer to two decimal places.)