WorksheetsDifferentiation (V1)
Total questions: 30
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
Find the derivative of f(x) = 2x2+3.
a)
4x
b)
4x2
c)
3
d)
4x+3
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.
Differentiate y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
4.
Find the derivative of the given equation
f(x) = 7
f(x) = 7
a)
7
b)
0
c)
7x
d)
14
5.
Find the derivative of the given equation
f(x) = 1/x2
f(x) = 1/x2
a)
1/2x
b)
-2x
c)
2x
d)
-2x-3
6.
a)
A
b)
B
c)
C
d)
D
7.
What is the derivative of xn?
a)
(n-1)xn
b)
nxn+1
c)
(n+1)xn-1
d)
nxn-1
8.
Derivative means the same thing as
a)
slope of the tangent line
b)
slope of the normal line
c)
exponent
d)
potato
9.
If a function has a derivative that is negative, what does that tell you?
a)
The function is increasing
b)
The function is decreasing
10.
The derivative of a function is its
a)
Sign
b)
Maximum/Minimum
c)
Instantaneous rate of change
d)
Common Denominator
11.
a)
3x2
b)
x3
c)
6x
d)
3x2 + x3
12.
Differentiate 6x⅔.
a)
4x-⅓
b)
4x-⅔
c)
6x⅓
d)
4x⅓
13.
Set up the derivative of y=(3x4 - 7)*(5x2 + 1)
a)
(12x3)*(10x)
b)
(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)
c)
(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)
d)
(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
14.
Find the derivative of y = 2x2 (3x - 4)
a)
6x3 - 8x2
b)
18x2 - 16x
c)
15x2 - 6x
d)
6x - 4
15.
Find the derivative
a)
9x2+2
b)
3(x2+2)/(x2+2)2
c)
(-3x2+4x +6)/(x2+2)2
d)
(-3x2+10)/(x2+2)2
16.
Find the derivative of the function of time t: y = 6t + 15t2 - 2
What is the velocity of the function at time t = 2 s?
a)
64 m/s
b)
60 m/s
c)
66 m/s
d)
70 m/s
17.
Find the derivative
f(t) = (t2 + 2t)5
f(t) = (t2 + 2t)5
a)
f'(t) = 5(2t+2)4
b)
f'(t) = 5(t2 + 2t)4
c)
f'(t) = 5(t2 + 2t)4(2t)
d)
f'(t) = 5(t2 + 2t)4(2t + 2)
18.
a)
A
b)
B
c)
C
d)
D
19.
The slope of the curve y = 6x1/2+x at x = 0 is
a)
4
b)
3
c)
1
d)
0
20.
For what values of x does y=x3+3x2+10 have a horizontal tangent?
a)
x = 0, 2
b)
x = -2, 0
c)
x = 0
d)
x = -2
21.
Find h'(3)
a)
-2
b)
0
c)
1
d)
3
22.
a)
Only the Quotient Rule
b)
The Quotient and Product Rules
c)
The Quotient and Chain Rules
d)
Only the Chain Rule
23.
Find the derivative of this function
a)
(8x3 -60x/(2x2-5)2
b)
16x4/(2x2-5)2
c)
(8x4 -60x2)/(2x2-5)2
d)
3x/(2x2-5)2
24.
Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x5 + 5)2
f(x) = (5x5 + 5)2
a)
y = 500x + 400
b)
y = 100x + 400
c)
y = -500 x - 400
d)
y = 500x - 400
25.
Find the second derivative of the function:
f (x) = 2x - 5x6
f (x) = 2x - 5x6
a)
f ''(x)= 2 - 30x
b)
f ''(x) = 2-30x5
c)
f ''(x) = -30x5
d)
f ''(x) = -150x4
26.
Find the second derivative of the following functions with respect to x.
y=3x4
y=3x4
a)
36x2
b)
12x3
c)
4x3
d)
12x2
27.
Find the second derivative of the following functions with respect to x.
y=3x2+5x-1
y=3x2+5x-1
a)
6x+5
b)
3x+5
c)
5
d)
6
28.
Find the second derivative of the following functions with respect to x.
y=(3x+2)10
y=(3x+2)10
a)
10(3x+2)9
b)
30(3x+2)9
c)
810(3x+2)8
d)
270(3x+2)8
29.
Find the second derivative of the following functions with respect to x.
y=(x3+x)/x2
y=(x3+x)/x2
a)
x+(1/x)
b)
1-(1/x2)
c)
2/x2
d)
2/x3
30.
In Stand and Deliver, Mr. Escalante says they must have the "Ganas". What does Ganas mean?
a)
Desire
b)
Money
c)
Brains
d)
Respect
100 %
