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Derivative Rules Flashcards | StudBud
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Derivative Rules
Derivative Rules
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StudBud Administration
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This is a practice exam for derivatives designed for a high school level AB Calculus class.
Flashcards
14 cards
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Questions
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Answers
1
Find the derivative
3x2sec(x)tan(x)/√(sec(x3))
3x2√sec(x3)tan(x3)
3x2sec(x3)tan(x3)/2√(sec(x3))
√sec(x3)tan(x3)
2
Find the derivative
1/x
tan(x)
-xsin(x)
cos(x)
3
Find dy/dx. (Last question. Stay strong!)
1/(4+cosx)
sinx/(4+cosx)(ln(e))
-sinx/(4+cosx)
sinxcosx/(1+cosx)
4
Find the slope of the tangent line.
2x + 21/x8
2eln(x)-3x-8
e2ln(x)+3x-9
2eln(x^2)/x + 3/x-8
5
Find the derivative
ax ln(a)
1/ax
ax log(a)
ax/ln(a)
6
Find dy/dx
12x2+3x-2
24x+6
12x2-6x+2
12x2+6x+2
7
Find the derivative
1/ex
e2x
ex
tan(ex)
8
Find the slope of the tangent line.
x2/x3
2x/3 + 6/x3
2/3 + x4
2x/3 - 6/x3
9
Find the derivative.
1/x + 1/2x
1/(2√x) + 1/(2√x^3)
1/(2√x) + 1/(√x)
1/(√x) - 1/(2x√x)
10
Find the dy/dx.
-ex/(ex+1)2
(ex)2/e2x
-ex/(ex-1)2
-1/(ex-1)2
11
Find dy/dx.
(-2cotx)(csc2x)
-2csc2x
(ln(2cotx)))(-csc2x)
(-2cotx)(ln(2))(csc2x)
12
Find the slope of the tangent line.
-5/(x-2)2
-3/(x-2)2
1/(x-2)
-3(x+1)/(x-2)2
13
dy/dx of x
4
sin(x)
4x3sin(x) - cos(x)x4
1/x4sin(x)
4x3sin(x)cos(x)
cos(x)x4 + 4x3sin(x)
14
Find the slope of the tangent line.
26x-5/(13x2-5x+8)2
26x-5/2(√13x2-5x+8)
26x-5/(13x2-5x+8)
1/2(√13x2-5x+8)
