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mohsin aditDuplicate of Basic Derivatives Review Quiz Flashcards | StudBud
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mohsin aditDuplicate of Basic Derivatives Review Quiz
mohsin aditDuplicate of Basic Derivatives Review Quiz
25 terms
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StudBud Administration
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A math derivatives quiz for Calculus AB students to review the basic rules of derivatives.
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Questions
25
Answers
1
Find y' of y=sin(x
2
)
y'=2xcos(x2)
y'=-2xsin(x2)
y'=1
y'=-2xcos(x2)
2
Find y' of y=cot(3x+2)
y'=-3csc2(3x+2)
y'=-3csc(3x+2)
y'=-3csc2(3)
y'=3cot(3x+2)
3
Find y' of y= 5
2x+sin(x)
y'= (52x+sin(x))(2+cos(x))
y'= (52x+sin(x))(ln2x)(5+cos(x))
y'= (52+cos(x))(ln5)(2+cos(x))
y'= (52x+sin(x))(ln5)(2+cos(x))
4
Find y' of y=sec(3x)
y'=-3(csc(3x))(cot(3x))
y'=3(sec(3x))(tan(3x))
y'=sec2(3x)
y'=3(sec(x))(tan(x))
5
Find y' of y= sin
3
(2x)
y'=6sin2(x)cos(x)
y'=6sin(2x)cos(2x)
y'=cos3(2x)
y'=6sin2(2x)cos(2x)
6
Find y' of y=5
y'=1
y'=0
y'=5x
y'=5
7
Find y' of y=tan
2
(cos(2x
2
))
y'={tan[cos(2x2)]}{sec2[cos(2x2)]}[sin(2x2)](4x)
y'=8x{tan[cos(2x2)]}{sec2[cos(2x2)]}[sin(2x2)]
y'=-8x{tan[cos(2x2)]}{tan[cos(2x2)]}[sin(2x2)]
y'=-8x{tan[cos(2x2)]}{sec2[cos(2x2)]}[sin(2x2)]
8
Find the simplest form of y' of y=ln(2x
3
)
y'=6x2∕ 2x3
y'=3 ∕ x
y'=3x3∕ x2
y'=3x
9
Find the simplest form of y' of y=2x
3
∕ 3x
y'=4x ∕ 3
y'=12x3∕9x2
y=4x3∕x2
y'=4x3∕3x2
10
Find y' of y=2tan(2x
2
)
y'=(8x)sec2(2x2)
y'=2sec2(2x2)(2x2)
y'=(-8x)sec2(2x2)
y'=(8x)tan(2x2)
11
Find y' of y=5x
2
+3x
3
y'=10x2+9x3
y'=10x+9x3
y'=10x+9x2
y'=10x2+9x2
12
Find y' of y=csc(x)
y'=-csc2(x)
y'=(-csc(x))(cot(x))(du/dx)
y'=(sec(x))(tan(x))(du/dx)
y'=(-csc(x))(cot(x))
13
Find y' of y=e
x
y'=2ex
y'=1
y'=xex
y'=ex
14
Find y' of y=sec
-1
(x)
y'=1 ∕ (|x|√(x2-1))(du /dx)
y'=1 ∕ (x√(x2-1))
y'=-1 ∕ (|x|√(x2-1))
y'=2 ∕ (|x|√(x2-1))(du/dx)
15
Find y' of y=cot
-1
(3x)
y'=-3 ∕ (1+9x)
y'=-3 ∕ (1+9x2)
y'=3 ∕ (1+9x)
y'=3 ∕ (1+9x2)
16
Find y' of y=(12x
-1
)(4x
5
)
y'=(12x-2)(4x5)+(20x4)(12x-1)
y'=(-12x-2)(4x5)+(20x4)(12x-1)
y'=(12x-2)(4x5)-(20x4)(12x-1)
y'=(-12x-2)(4x4)+(20x3)(12x-1)
17
Find y' of y=4tan(x
3
)
y'=12x2sec(x3)
y'=12x2(sec(x3))(sec(x3))
y'=-12x2(csc(x3))(cot(x3))
y'=12x2sec2(x3)
18
Find y' of y=5cos(5x)
y'=25sin(5x)
y'=-5sin(5x)
y'=cos(5x)(5)
y'=-25sin(5x)
19
Find y' of y=cot(x)
y'=-csc2(x)
y'=-csc2(x)(du/dx)
y'=(-csc(x))(cot(x)(du/dx)
y'=(sex(x))(tan(x))
20
Find y' of y=cos(x)
y'=csc(x)(du/dx)
y'=-cos(x)(du/dx)
y'=sin(x)(du/dx)
y'=-sin(x)(du/dx)
21
Find y' of y=2x
x
2x
2x2
2
22
Find y' of y=log
3
x
2
y'=1 ∕ ((ln3)(x2))
y'=x ∕ ((ln3)(2x))
y'=2x ∕ ((ln3)(x2))
y'=2x ∕ ((lnx2)(3))
23
Find y' of y=sin
-1
(2x)
y'=1 ∕ ((√1-4x2))
y'=-2∕(√(1-4x2))
y'=2 ∕ (√(1-4x2))
y'=2∕(√(1-4x))
24
Define Derivatives
rate of change at a given point
the power rule
Average rate of change
Instantaneous rate of change
25
Find y' of y=tan
-1
(3x
2
)
y'=6x ∕ (1+9x2)
y'=6 ∕ (1+9x2)
y'=6x ∕ (1+9x4)
y'=6 ∕ (1+9x4)
