WorksheetsLimit and Differentiation
Total questions: 10
Worksheet time: 15mins
Name
Class
Date
1.
Differentiate f(x) = x3.
a)
x^4
b)
3x^3
c)
3x^2
d)
6x
2.
Find the derivative of the given equation
f(x) = x3 + x2 + 3
f(x) = x3 + x2 + 3
a)
3x2 + 2x
b)
3x + 2x
c)
3x + 2x + 3
d)
x3 + x2
3.
Find the derivative of f(x) = 2x2+3.
a)
4x
b)
4x2
c)
3
d)
4x+3
4.
find y' for y=(e5x)+1
a)
5e5x+1
b)
e5x
c)
5e5x
d)
1
5.
find y' for y= (2x+1)10
a)
10(2x+1)9
b)
20(2x-1)9
c)
20(2x+1)10
d)
20(2x+1)9
6.
find y' for y= sin(2x2)
a)
4sin(2x2)
b)
4xcos(2x2)
c)
2xcos(2x2)
d)
xcos(4x2)
7.
Find the derivative of y = 2x2 (3x - 4)
a)
6x3 - 8x2
b)
18x2 - 16x
c)
15x2 - 6x
d)
6x - 4
8.
From the function above, determine
x→0−limf(x) .a)
0
b)
-1
c)
1
d)
2
9.
What is the limit?
a)
DNE
b)
Infinity
c)
6
d)
12
10.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
100 %
