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Derivatives up to sum/diff/power rule Flashcards | StudBud
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Derivatives up to sum/diff/power rule
Derivatives up to sum/diff/power rule
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StudBud Administration
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calculus simple derivatives
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Answers
1
Find the derivative of \frac{1}{\sqrt[5]{x}}
-\frac{1}{5}x^{\frac{-6}{5}}
\frac{1}{5}x^{\frac{-4}{5}}
\frac{1}{5}x
\frac{-1}{5}x^{\frac{-4}{5}}
2
Find the indicated derivative by using the limit of the difference quotient.
10x
5x
10
10x^2
3
based on the sum and difference rule what is the derivative of 2x
4
+x
-9?
8x3-9x-10
2x3+9x-10
2x+x
8x3-9x
4
Find the derivative
15x2 + 12
15x2 - 12
8x2 + 13
8x2 + 12
5
What is the derivative of 4x + 3x
3
?
9x
4+9x
x+9x2
4+9x2
6
What is the derivative of x
2
+7?
2x+7
2x
x
x2+7
7
What is the derivative of 4x
2
?
8x2
8x
6x
6
8
What is the derivative of 4x - 30?
4
4-x
2x
4x
9
Find the derivative.
f'(t) = -4/(3t3)
f'(t) = (4/3)t
f'(t) = 4/(3t3)
f'(t) = (-4/3)t3
10
where are graphs non-differentiable?
corners
cusps
Asymptotes
when x=0
11
What is the derivative of 4x - 21?
4-x
4x
4
2x
12
True or False: the derivative is a limit of a difference quotient
False
True
13
Use the sum and difference rule to differentiate f(x)=2x
3
+ 5x
2
f1(x)=6x2-10x
f1(x)=6x2+10x
f1(x)=6x3+10x2
f1(x)=5x2+7x
14
What is the derivative of x
5
?
x4
5x4
4x5
5x
15
All graphs that are continuous are differentiable
True
False
16
What is the derivative of 7x?
1
7x
x
7
17
These graphs represents non-differentiable functions.
False
True
18
Find the derivative
2+\frac{1}{x^2}
2
1
2-\frac{1}{x^2}
19
What is the derivative of 2x
-3
?
2x2
6x2
-6x
-6x-4
20
All graphs that are differentiable are continuous
False
True
21
Find the derivative (sum and difference rule):
a
b
c
d
22
What is the derivative of 5x
-3
?
-15x-2
-15x-4
15x2
-15x
23
Find the derivative.
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
f'(x) = 1/(2x1/2) - 1/(2x3/2)
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x1/2) + 1/(2x3/2)
