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Derivatives and Antiderivatives Flashcards | StudBud

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\int_{ }^{ }4xe^{2x^2}dx=

Which of the following relationships is correct?

Derivatives and Antiderivatives

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Questions 14

Answers

1
Which of the following relationships is correct?
None of these
∫(position)dt = velocity
∫(acceleration)dt = velocity
∫(velocity)dt = acceleration
2
\int_{ }^{ }4xe^{2x^2}dx=
e^{2x^2}+C
e^{\frac{2x^2}{3}}+C
None of these
2x^2e^{2x^2}+C
3
\frac{d}{dx}e^{2x^2}=
None of these
e^{2x^2}
4xe^{4x}
4xe^{2x^2}
4
\int_{ }^{ }\frac{4}{x}dx
1 + C
4 + C
4lnx + C
4/x2 + C
5
∫(3x + 6x⁵)dx =
3/2x2 + x6 + C
None of these
2x2+(1/6)x6 + C
3/2x2 + x6
6
\int_{ }^{ }6(sin3x)(cos3x)dx
csc2x + C
sin23x + C
cos23x + C
-csc2x + C
7
d/dx (4lnx)
4lnx2 + C
\frac{4}{x}
4x
4
8
d/dx[velocity] =
velocity
None of these
acceleration
position
9
The derivative of tanx - 17 =
-cotx
tan2x
secxtanx
sec2x
10
d/dx(sin²3x) =
-3(sin3x)(cos3x)
6(sin3x)(cos3x)
cos23x
None of these
11
How many antiderivatives does f(x) = secxtanx + 5x³ have?
An infinite number
None of these
None
Exactly 1
12
What is an antiderivative?
60x(5x2+5)5
A function
A number
The slope of a function
13
The antiderivative of sec²x =
tanx + C
2secx + C
tan2x + C
secxtanx + C
14
What is a derivative?
A function
The slope of the function
A number
The area under the curve