HUMA 205 Lecture Notes - Critical Thinking
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____Date________________
Differentiation - Chain Rule
Differentiate each function with respect to
x.
1)
y =
(
x
3
+ 3
)
5
2)
y =
(
−3
x
5
+ 1
)
3
3)
y =
(
−5
x
3
− 3
)
3
4)
y =
(
5
x
2
+ 3
)
4
5)
f
(
x
)
=
4
−3
x
4
− 2 6)
f
(
x
)
=
−2
x
2
+ 1
7)
f
(
x
)
=
3
−2
x
4
+ 5 8)
y =
(
−
x
4
− 3
)
−2
-1-
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Document Summary
2 x4 + 5 y = x 4 3) 2. Z a280m1w3z ekjuhtmaz nslomf1tewjaxrxem rl6lwct. g r qaxldll prfivgahitcsh urreksaehruvueodh. f w smeaudie8 ew3ivtkhf airntfpigngi1tee5 2cjaglqctuelkuhsh. x. 4 x2 3)4 y = x 3 + 4) 5 x 4 2. F f2h021d34 0kmufthaq dsbocfdtewxaerxe2 blrlyc7. c r taklrl4 irxiog3hdt1sc lrmeasoesrjvsewda. v r mmtaodjel kwqiit2hg dinnyfgiun0igtve6 xctajlqc3uwlfuxs8. 6. Differentiate each function with respect to x. y = x 3 + 3)5 y = 2 x4 + 5 y = x 4 3) 2 f. V g2r0q1h3o pknuatea9 zsvogfutqw5a5rxev rlxlpcw. 8 y hanlql0 vrlijgwh3tqso drre8s5eyrjvsetdr. h z omxabdjeg ewriztahl vijnqfei1nmi2tlea tc7a7lqcguhlrups9. b. 132 x3 32 27 x) y = x 3 + 4) 5 x 4 2. 3 x 2 x 4 2)2 x 4 10 16. 3 x 4 2)2 y = x + 5)5. Critical thinking question: give a function that requires three applications of the chain rule to differentiate. Create your own worksheets like this one with infinite calculus.
