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AP Calculus AB Chapters 3 and 4 Flashcards | StudBud
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AP Calculus AB Chapters 3 and 4
AP Calculus AB Chapters 3 and 4
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A Quiz for review of AP Calculus Derivatives Through Related Rates
Flashcards
16 cards
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Questions
16
Answers
1
What is the derivative of 4x
3
/9x
4?
You only have 30 seconds!
((9x4)(12x2) + (4x3)(36x3)) / (9x4)
((36x3)(12x2) - (4x3)(9x4))/ (9x4)
((9x4)(12x2) - (4x3)(36x3)) / (9x4)
((9x4)(12x2) - (4x3)(36x3))
2
Find dh/dt
1/5π
5π
1/25π
1/5
3
What is the derivative of ln(ln(X))
1/X2
1/ln(ln(X))
X/lnX
1/XlnX
4
Use Implicit Differentiation to solve: 3y
2=
1-x
4
dy/dx = +4x3/3y
dy/dx = -4x3/3y
dy/dx = -4x3
dy/dx = 1 - 4x3/3y
5
What is the derivative of sec(X) + tan(x)
sec(x)tan(x)
sec(x)tan(x) - sec2(x)
sec(x)tan(x) + sec2(x)
csc(x)tan(x)
6
Find the Linearization of Sin(x) + e
x
at x =0
1-2x
√sin(x)+ex
1+2x
1 + ex - sin(x)
7
Which lists all of the points of inflection of the following function? x
4
+6x
3
+9x
2
+12x
-3, -1/2, 0
-3, -1/2
-3
-1/2
8
An objects position can be measured s(t) = –16t
2
+ 8t + 4. What is the acceleration?
-24
-32
-32t + 8
32
9
Time for Everyones Favorite: Logarithmic Differentiation! y = x
tanx
dy/dx = y((tanx/x) + (sec2xlnx))
dy/dx = y(xtanx)
dy/dx = ((tanx/x) + (sec2xlnx)) / x
dy/dx = ln(y(xtanx))
10
Calculators are now okay? Got it?
Dont tell me what to do
I actually just cant comprehend english
What is calculate?
Yes
11
What is the derivative of 2e
x/2
4ex/2
ex/2
e-x/2
e2x/3
12
When is this function concave up on bounds [-10,10]? x
3
+6x
2
+4
[-2,4];
[-10,-2]
[-2,10]
[-10,10]
13
What is the derivative of sin(X) x -cos(2X) No Calculator.
sin(2x)sin(x) + -cos(2x)cos(x)
cos(X) + 2sin(x)
sin(2x)cos(x) + -cos(2x)sin(x)
2sin(2x)sin(x) + -cos(2x)cos(x)
14
When is this function increasing on bounds [-10,10]? x
3
+6x
2
+4x
[-10,-4]U[-1/3,10]
[-10,10]
[-4,-1/3]
[-10,-4]U[-4,-1/3]
15
What corner, cusp, vertical tangent, or discontinuity is in this function ? x
2
-16 / x-4
Discontinuity
Corner
Cusp
Nothing
16
What is the derivative of √sin(2x)
-cos(2x) / √sin(2x)
sin(2x) / √sin(2x)
cos(2x) / √sin(2x)
2cos(2x) / √sin(2x)
