Quizdd
1
\ Nu "l4'k il.ntf,n{( Quiz 5 Show all work for fullmedit. 1. Use implicit diflerentiation to frnd ! for the relation: *t + yt = 4xy, then find the equations for dx the tangent and normal lines at the point (2,2). 3f * r y'dv#, a lq\y', * o\11*\A #\u,* *'3 [o -- '7h Calculus I Date (4) (2) th/ x ''15 jxl* zy'iYfqx : t\Y Find the indicated derivative. (You do NOT need to simplifu your answer.) a. .f (x)L3ln(x'z)+tn(x2 +4), find f'(x): blU * J:L_ tl.r. \\/, \ \-'. ' - lltl{ t \fr- + \Y*'.\ ,\Z\ )1, 31i3* - xs$fpx , n ( J',lJ$t *1x** 4Y -1*?*it$ -v d'tl,I*(,*rt - ^\ : d = arcsin(Zx) - 4 arctan(3 x + 5), find &""sr\ -?, _tr< lx-*] * Y5. -t1E't Yror Yro\ J t t'"' ' '- Y -t= 1lL tt"-?\ + \i ' (lz t * 3 d ',i?;fu- ',',' (_jy* b \ de dx a '(qt! \r l+llxts)z rl J .ffi't c. Given * =( trrir(t))', nno ,, (2) \ t'+4 ) (hint: try logarithmic differentiation.) 5 ,\ jj J tr ? ,.'!' + u "r
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Transcript of Quizdd
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\Nu "l4'k il.ntf,n{(Quiz 5
Show all work for fullmedit.
1. Use implicit diflerentiation to frnd ! for the relation: *t + yt = 4xy, then find the equations fordxthe tangent and normal lines at the point (2,2).3f * r y'dv#, a lq\y', * o\11*\A #\u,* *'3 [o -- '7h
Calculus IDate
(4)
(2)
th/x ''15jxl* zy'iYfqx : t\Y
Find the indicated derivative. (You do NOT need to simplifu your answer.)
a. .f (x)L3ln(x'z)+tn(x2 +4), find f'(x): blU
* J:L_tl.r. \\/, \ \-'. ' -
lltl{t \fr- + \Y*'.\ ,\Z\
)1, 31i3* - xs$fpx ,n ( J',lJ$t*1x** 4Y
-1*?*it$ -vd'tl,I*(,*rt -
^\ :
d = arcsin(Zx) - 4 arctan(3 x + 5), find
&""sr\ -?, _tr< lx-*] * Y5. -t1E't
Yror Yro\ J tt'"' ' '- Y -t= 1lL tt"-?\ + \i '
(lz t * 3
d ',i?;fu-',',' (_jy*
b
\
dedx
a'(qt!\r l+llxts)z rlJ.ffi't
c. Given * =( trrir(t))', nno ,, (2)\ t'+4 )(hint: try logarithmic differentiation.)
5,\
jjJ tr ?
,.'!' + u "r
