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Derivatives and Antiderivatives Flashcards | StudBud

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Find the antiderivative of sinx.

d/dx[velocity] =

Derivatives and Antiderivatives

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Questions 12

Answers

1
d/dx[velocity] =
displacement
acceleration
velocity
position
2
Find the antiderivative of sinx.
cosx + C
-cosx + C
-sinx + C
sinx + C
3
Which of the following relationships is correct?
∫(position)dt = velocity
d/dx(position)=acceleration
∫(acceleration)dt = velocity
∫(velocity)dt = acceleration
4
d/dx(sin²3x) =
6(sin3x)(cos3x)
-3(sin3x)(cos3x)
9(sin3x)(cos3x)
cos23x
5
The derivative of tanx =
-cotx
tan2x
sec2x
secxtanx
6
Find the derivative of cotx.
-csc2x + C
-cscxcotx
-csc2x
csc2x + C
7
Find the particular solution of f(x) = ∫4x²dx if F(1) = 2.
(4/3)x3 + C
4x2 + (2/3)
(4/3)x3 + (2/3)
None of these
8
∫(3x + 6x⁵)dx =
2x2+(1/6)x6 + C
3/2x2 + x6
3/2x2 + x6 + C
3x2 + x6 + C
9
Find the derivative of the function f(x) = (5x²+5)⁶
6(5x2+5)5
6(5x)6
None of these
60x(5x2+5)5
10
Find the derivative of sinx.
cosx
sinx
-cosx
-sinx
11
f'(x) = 3x, F(x) =
6x2 + C
3x2 + C
3/2 x2 + C
3/2 x2
12
d/dx[secx] =
secxtanx
sec2x
-cscxcotx
-sinx