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WorksheetsPower Rule
Total questions: 15
Worksheet time: 18mins
Name
Class
Date
1.
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
2.
Find the slope of f(x) = -3x2-6x at x = 1.
a)
m = 0
b)
f'(x) = -6x - 6
c)
f'(x) = 6x
d)
m = -12
3.
Find the derivative of the given equation
f(x) = 7
f(x) = 7
a)
7
b)
0
c)
7x
d)
14
4.
Differentiate y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
5.
The derivative of
a)
y'=2x-x-2
b)
y'=x-1+8x
c)
y'=x-2+8x
d)
y=8x-x-2
6.
f(x)= 9/∛x
f'(x) =
f'(x) =
a)
9x-1/3
b)
-3x-4/3
c)
-9x2/3
d)
-3x2/3
7.
What is the derivative of xn?
a)
(n-1)xn
b)
nxn+1
c)
(n+1)xn-1
d)
nxn-1
8.
Find f '(2) if
f(x) = x2 + 2x
f(x) = x2 + 2x
a)
2x + 2
b)
6
c)
12
d)
2x
9.
Find dy/dx for y = 4x3 + 3x + 1
a)
dy/dx = 4x2 + 3
b)
dy/dx = 4x2 + 3x
c)
dy/dx = 12x2 + 3x
d)
dy/dx = 12x2 + 3
10.
Find the fully simplified Derivative of y = 4x2 + 3x + 6x-2
a)
y' = 8x + 3 -12x-3
b)
y' = 8x + 3 +12/x3
c)
y' = 8x + 3 -12/x3
d)
y' = 8x + 3 + 12/x
11.
What is the derivative of a constant, c?
a)
c
b)
0
c)
1
12.
If a is a constant, what is the derivative of ax?
a)
a
b)
x
c)
1
d)
0
13.
Find the derivative of the given equation
y = 7
a)
y' = 7
b)
y' = 0
c)
y' = 7x
d)
y' = 14
14.
Differentiate y=x2x2+3x−4 . SIMPLIFY first by dividing each term in the numerator by the denominator.
4 lines
15.
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
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