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WorksheetsCalculus
Total questions: 18
Worksheet time: 9mins
Name
Class
Date
1.
FInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x
a)
-2x2 - x + 9
b)
-2x2 + x + 9
c)
2x2 - x + 9
d)
2x2 - x - 9
2.
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
3.
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)
4.
Find the derivative of y = 2x2 (3x - 4)
a)
6x3 - 8x2
b)
18x2 - 16x
c)
15x2 - 6x
d)
6x - 4
5.
Differentiate f(x) =(2/ x5) - 5.
a)
x5-3
b)
-10x6
c)
x5-5
d)
-10x-6
6.
Find the derivative of the given equation
f(x) = x4 + 4x3 - 2x2
f(x) = x4 + 4x3 - 2x2
a)
x3 + x2 - x
b)
4x3 + 12x2 + 4x
c)
4x + 12x - 4x
d)
4x3 + 12x2 - 4x
7.
Find the derivative.
a)
x4 cosx - 4x3sinx
b)
x4 cosx + 4x3sinx
c)
4x3cosx
d)
-4x3cosx
8.
Find the derivative f(x) = xex
a)
f'(x) = ex
b)
f'(x) = xex + xex
c)
f'(x) = ex - xex
d)
f'(x) = ex + xex
9.
.
a)
(3x2-2)cos(x3-2x)
b)
-(3x2-2)cos(x3-2x)
c)
cos(2x2-2)
d)
sin(2x2-2)
10.
Find the derivative of g(x)=(3x-2)/(x2+2)
a)
9x2+2
b)
3(x2+2)/(x2+2)2
c)
(-3x2+4x +6)/(x2+2)2
d)
(-3x2+10)/(x2+2)2
11.
The position of an object is given as a function of time by x = 3t2 + 5t3 - 2t
What is the acceleration of the object at time t = 2 s?
What is the acceleration of the object at time t = 2 s?
a)
64 m/s/s
b)
60 m/s/s
c)
66 m/s/s
d)
70 m/s/s
12.
The velocity of an object is given as v = 2t + 3t3. what is the acceleration of the object at t = 2 s?
a)
38 m/s/s
b)
27 m/s/s
c)
16 m/s/s
d)
49 m/s/s
13.
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?
a)
v(t) = -2
b)
v(t) = -2t - 1
c)
v(t) = t3
d)
v(t) = -t
14.
If the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity at t = 1?
a)
v = 0
b)
v = 1
c)
v = -1
d)
v = -2
15.
Find the derivative.
f(x) = -8x-3 + 5x - ex
f(x) = -8x-3 + 5x - ex
a)
f'(x) = -24x-4 + 5 - ex
b)
f'(x) = 24x-4 + 5 - ex
c)
f'(x) = 24x-2 + 5 - ex
d)
f'(x) = 24x-4 + 5 - ex-1
16.
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)
17.
Find the second derivative of
f(x) = x2 + ex - cosx
f(x) = x2 + ex - cosx
a)
f"(x) = 2 + ex + cosx
b)
f"(x) = 2x + ex + cosx
c)
f"(x) = 2x + xex - cosx
d)
f"(x) = 2x + ex + sinx
18.
f(x)= 9/∛x
f'(x) =
f'(x) =
a)
9x-1/3
b)
-3x-4/3
c)
-9x2/3
d)
-3x2/3
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