Write down the formula for the derivative of flas tanx State how you could use formulas for derivatives of sine & cosine function to derive this formula. (Do not do this derivation Use this formula to derive the formula for the derivative of the arc tangent.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Write down the formula for the derivative of flas tanx State how you could use formulas for derivatives of sine & cosine function to derive this formula. (Do not do this derivation Use this formula to derive the formula for the derivative of the arc tangent.
Write dawn the formula for the derivative of fles tanz
you
State hav
Casme fundion to derive this formula, Coonot do this derinahe
Ure this for mula to deive the formula for the derivative of the
zou ld use formulas for derivatives of sne¢
tangeid.
arc
Find the dimension
maximum volume theit can be inseribed in a
of the right carcular ayclinder of
right
Eircular
Co
cone of radus R auid height H.
Sin
A man wales along a straight path ataspeed te path and
searchlight is (oeated on the qraund 25m
« fept ficused on the man. At what rate is the setrchlight 1-
retating when the man is 20m.
path tesest to the searchlight!
fmls. A
from
COS
from
he
point
on the
Cos
A campany manufacturing and selling towels. The marginal
cost fot producing tfowels % 0.15 CAB Ser towel. A market
survey
has shosh that
for every
0.ib CAS Increase 1n the
price per fowel, The compony wil sell 50 towels Hess per wete
rell 1080 towels per week damst
Currently
prce that maximl
the
zes q ant
their proyt. Determine
price
of one
Fravel? CNote: As usclal, evén though towels are
integor unitsy 9sume we zan use vdifferentable
enly soHle
pihtionst
describe te relevant quantibies
Transcribed Image Text:Write dawn the formula for the derivative of fles tanz you State hav Casme fundion to derive this formula, Coonot do this derinahe Ure this for mula to deive the formula for the derivative of the zou ld use formulas for derivatives of sne¢ tangeid. arc Find the dimension maximum volume theit can be inseribed in a of the right carcular ayclinder of right Eircular Co cone of radus R auid height H. Sin A man wales along a straight path ataspeed te path and searchlight is (oeated on the qraund 25m « fept ficused on the man. At what rate is the setrchlight 1- retating when the man is 20m. path tesest to the searchlight! fmls. A from COS from he point on the Cos A campany manufacturing and selling towels. The marginal cost fot producing tfowels % 0.15 CAB Ser towel. A market survey has shosh that for every 0.ib CAS Increase 1n the price per fowel, The compony wil sell 50 towels Hess per wete rell 1080 towels per week damst Currently prce that maximl the zes q ant their proyt. Determine price of one Fravel? CNote: As usclal, evén though towels are integor unitsy 9sume we zan use vdifferentable enly soHle pihtionst describe te relevant quantibies
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