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Duplicate of Calculus: Derivative Review Flashcards | StudBud
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Duplicate of Calculus: Derivative Review
Duplicate of Calculus: Derivative Review
15 terms
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A beginning review of derivatives #calculus #derivatives
Flashcards
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Questions
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Answers
1
Derive implicitly 6x - 3y = 9y
dy/dx = 1/2
dy/dx = 6x - 12
dy/dx = 1
dy/dx = 6x - 6
2
The derivative of g(x)=ln(4x-9) is?
ln(4x-9)
(4x-9)(ln 4)
4/(4x-9)
ln(4)(4x-9)
3
The derivative of y=sin
2
(3x) is?
2sin(3x)(cos(3x))(3)
2cos(3x)(3)
sin(cos(tan(x)))
sin2(3x)cos(3x)(3)
4
The derivative of y=4
5x-9
is?
e5x-9
(ln4)45x-9(5)
45x-9(5)
(ln4)54x-9(5)
5
Derive y = cos(tanx)
y' = -sin(tanx)sec2x
y' = cosxsec2x + -tanxsinx
y' = sinxsec2x
y' = -sinxtanxsec2x
6
The derivative of 13x
4
is?
52x3
13x3
54x3
42x4
7
Derive -3tan(e
x
)
y' = -3extanx + -3sec2xex
y' = -3sec2(ex)
y' = -3extanx
y' = -3exsec2(ex)
8
The derivative of f(x)=sec(8x-3) is?
sec(8x-3)(8)
sec(8x)tan(8x)(8x-3)
sec(8x-3)tan(8x-3)(8x)
sec(8x-3)tan(8x-3)(8)
9
The Derivative of log
2
(2x + 2)
2e(2x + 2)
2/(2x+2)ln2
2ln2/(2x + 2)
2ln2e(2x + 2)
10
The derivative of f(x)=e
3x-4
is?
e3x-4
3e3x-4
3xe3x-4
ex e3x-4
11
Implicitly derive -2y
2
+ x
2
y= 5
dy/dx = 2xy/(4y - x2)
dy/dx = -2x/(4y - x2)
dy/dx = -2/2x
dy/dx = 2xy/(4-x2)
12
The second derivative of y=sin x is?
six(n)
-sin(x)
cos(x)
-cos(x)
13
What is the derivative of y=xsinx...go slow...
y'=1cosx
y'=sinxcosx
y'=xcosx+sinx
y'=cosx+xsinx
14
Derive (2x + 1)/tanx
y' = 2sec2x/tanxsecx
y' = 2/sec2x
y' = ((2x + 1)sec2x - 2tanx)/tan2x
y' = (2tanx - (2x + 1)sec2x)/tan2x
15
The second derivative of 6x is?
6
1
6x
0
