Calculus1
Name
ChainRuleWorksheet
Block
Date
Findthederivativesofthegivenfunctions.
1) y =( x
3
(
y =3 7 x
)
+2 x
3
+2 x
-2
7
x
2) y = 3 -
x
37
36
) (3x
2
+2
(
3
y = x
)
- 7x
(
y =- 2 x
3
-1
)
3) y =
-2
- 7x
-1
1
2
(
-3
) (3x
2
+7 x
-2
1
5) y =(
Calculus1
DerivativesReview(1)
Name
Findthederivativeofeachofthefollowing.
1. y =7 x
2
+
4
x3
2.f ( x ) =c o t x
3. h ( x ) =2 x
5
3
4
x
3
4. y = s in 3 5 x
5. y = 3 9 x
2
-5
3
+7 x +2
6. g ( x ) =x 4 s e c x
7.f ( x ) =
8. y =( x
9. g ( x ) =
3x 2
( 4
Calculus1:ReviewofDerivatives(2)
Determinethefirstderivativeofthefollowingfunctions.
(
4
1) y = 2 x
2) y =2 x
-3
3) y = 3 x
+5 x
+
2
4)f ( x ) =x
)
3
5
x
3
5
+
2
3x 2
+2 x - 1
3
(x
2
+2 )
1
2
2
5) g ( x ) =x s in x - 2 s e c x
(
6) y = t an 3 x
4
)
Name
CalculusI
MultipleChoiceActiveExpressionsActivity
Determinethecorrectfunctiontofindthederivativeusingthelimitdefinition.
1. g ( x ) = 4 x
4
- 3x
2
+5 x - 7
a. h ( x ) =
4 ( x +h
)
4
- 3 ( x +h
)
2
(
+5 ( x +h ) - 7 - 4 x
- 3x
2
+5 x - 7
)
h
b. h ( x ) =li
Calculus1
Assessment#3Review
Name
Date
1)Usethelimitdefinitionofaderivativetofindthederivativeof f ( x ) =2 x
f ( x +h ) - f ( x )
lim
h 0
h
2 ( x +h ) 2 +5 - (2 x 2 +5 )
lim
h 0
h
2
2 ( x +2 x h +h 2 ) +5 - 2 x 2 - 5
lim
h 0
h
2 x 2 + 4 x h +2 h 2 +5
The Chain Rule
[in Rule is a method used to find the derivative of a function that has other
[(5) inside itself (when you have the composition of functions).
5 l: 1
39 a 7 $901 [21900)] = f'(_q(x>)(9<x)
:4X5+2X2)5 2) y=(6x3+5x)6
7: 50164413) (3073 HQ YI=Q