ID: 1
Calculus -
Name_
Basic rules of Derivatives
Date_ Period_
Y n2Q0A113e yKsu7traG nSGoQfgtGwJaOrle2 CL4LkCY.j y RAhlCla FriizgthytNs4 Er4eRs8eRrqvAe1dK.f
Use the definition of the derivative to find the derivative of each function with respect to the
Calculus
ID: 1
Name_
Assignment
Date_ Period_
8 M2o0T193x zKduGtZax gSIoMfFtIwNaYruey NLzLOCL.g Q 6A8lPlB 3roirgr hrtfsG Nr2eOs2egrhv7eCdr.8
For each problem, use implicit differentiation to find
dy
in terms of x and y.
dx
1) xy x
2) x xy
3) x xy y
4) y
ID: 1
Calculus
Name_
Assignment
Date_ Period_
U V2I 0I1S3k GK2ustKaR pSfoffjtSwiaYreei OLLLjC9.X A gARlflA VrTiDgjhctWsb Nrue5sqe1rtvbeUdp.1
Differentiate each function with respect to the given variable.
1) f ln r
3) se t
4) g(s)e s
r
5) f (r)
ln r
7
Introduction To Limits
Name _
Use the graph above to evaluate each limit, or if appropriate, indicate that the limit does not exist.
1.
2.
3.
4.
5.
6.
7.
lim f x
8.
lim f x
9.
lim f x
10.
lim f x
11.
lim f x
12.
lim f x
13.
lim f x
14.
x 6
x 6
x 6
Kuta Software - Infinite Calculus
Name_
Differentiation - Power, Constant, and Sum Rules
Date_ Period_
Differentiate each function with respect to x.
1) y = 5
2) f ( x) = 5 x 18
3) y = 4 x 5 + x
4) f ( x) = 4 x 4 5 x 3
5) y = 3 x
5
4
7) y = 4 x
9) y = x
2
ID: 1
Calculus
Name_
Qtr Test Review
Date_ Period_
h z2 m0 Q1330 yKguvtIat 4SLoWfQt2wia6rUeP 2LGLXC3.m 4 8AHl6lp ErEiFg6hmtEsm drFeUsUe6rUvheydn.u
Use the definition of the derivative to find the derivative of each function with respect to x.
1) y x x
Fo
Kuta Software - Infinite Calculus
Name_
Differentiation - Product Rule
Date_ Period_
Differentiate each function with respect to x.
1) y = x 3 (3 x 4 2)
2) f ( x) = x 2 (3 x 2 2)
3) y = (2 x 4 3)(2 x 2 + 1)
4) f ( x) = (2 x 4 3)( x 2 + 1)
5) f ( x) = (5 x
ALGEBRA II
Worksheet 2-2
_
NAME
Solve and graph the following:
1. x > 3
and x < 9
2. x > 3 or
x<9
3. 3x > 6 and x 5 > 2
4. 5 x > 2 and 2x 1 > 2
5. 3x < 15
or
x + 7 > 2x
6. 2x 1 > 4 and 3x 1 < -7
7. 4x 1 < 2(3x 1) or 5 3x < 2 5x
8. 7 < x 3 < 10
9. 2 < 3x +