WorksheetsDerivatives Mixed Practice (No Trig)
Total questions: 25
Worksheet time: 51mins
Name
Class
Date
1.
When we "take the derivative" of a function what are we finding?
a)
What's a derivative?
b)
The rate at which our struggles in Calculus are increasing.
c)
The slope of the secant line
d)
The slope of the tangent line
2.
Find the derivative of f(x) = 5x2 + 7x - 3.
a)
2x + 7
b)
10x + 7
c)
10x + 4
d)
2x + 4
3.
Differentiate y = -19
a)
-19
b)
0
c)
19
d)
Not differentiable
4.
Differetiate y = -19x
a)
-19
b)
0
c)
19
d)
Not differentiable
5.
Find the derivative:
y = (4x - 5)(2x + 3)
y = (4x - 5)(2x + 3)
a)
8
b)
8x
c)
16x
d)
16x + 2
6.
Determine the derivative of f(x) = 6x
a)
6
b)
x
c)
6x
d)
2x2
7.
What is the derivative of g(x) = 4x3
a)
12
b)
12x2
c)
4
d)
3
8.
Differentiate y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
9.
Find the derivative of the given equation
f(x) = 7
f(x) = 7
a)
7
b)
0
c)
7x
d)
14
10.
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
11.
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
12.
The derivative of a function is its
a)
Slope
b)
Maximum/Minimum
c)
Instantaneous rate of change
d)
Common Denominator
13.
Find the derivative of f(x) = 6x30 -2x15 + 4x3 - 2x + 1
a)
f'(x) = 18x29 + 30x15 + 12x3
b)
f'(x) = 180x29 - 30x14 + 12x2
c)
f'(x) = 180x29 - 30x14 + 12x2 - 2
d)
f'(x) = 180x29 - 30x14 + 12x2 +1
14.
Differentiate h(x) = 3x5/3 - 6x1/6 + 3x
a)
h'(x) = 5x2/3 - x-5/6 + 3
b)
h'(x) = 3x2/3 - 6x + 3
c)
h'(x) = 5x4/3 - 6x + 3
d)
h'(x) = 3x4/3 - x-5/6 + 3
15.
Find the derivative of the given equation
f(x) = 1 - x2
f(x) = 1 - x2
a)
1 - 2x
b)
-2x
c)
-2
d)
-1
16.
dxd(2xπ)
a)
2πxπ−1
b)
2πx−1
c)
2
d)
2πx(π−1)
e)
0
17.
Find dy/dx for
y = (x2 + 1)3
y = (x2 + 1)3
a)
dy/dx = 3(x2 + 1)2
b)
dy/dx = 3(2x)2
c)
dy/dx = 3(x2 + 1)2(2x)
d)
dy/dx = 2x(x2 + 1)2
18.
When do you use the chain rule?
a)
anytime you want
b)
when there is a function in a function
c)
where there are multiple layers to a lasagna (yum)
d)
when there is division
19.
Find the derivative of f(x)=(x3-2x)2
a)
6x5 - 12x3+8x
b)
6x5 - 16x3+8x
c)
x6-4x4+4x2
d)
6x5 - 16x3-8x
20.
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
21.
Find the derivative: h(x)=(3x+2)(5x3+2x)
a)
60x3+30x +12x-4
b)
60x3-30x2+12x-4
c)
45x3+30x2+12x+4
d)
60x3+30x2+12x+4
22.
a)
b)
c)
d)
23.
a)
b)
c)
d)
24.
What is the derivative of a constant, C?
a)
C
b)
1
c)
0
25.
find
a)
y = 2 x-1
b)
y=2 x-2
c)
y= −2x-2
d)
y= −2 x-1
100 %
