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AP Calculus - Derivatives Flashcards | StudBud
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AP Calculus - Derivatives
AP Calculus - Derivatives
21 terms
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Derivative Quiz
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21 cards
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Questions
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Answers
1
Part Two Given Y= (5X
2
+ 12X + 8)
2
. What is the Second Derivative of Y
300X2 + 720X +448
300X3 + 720X2 +448X + 192
300X4 + 720X3 +448X2
300X4 + 720X3 +448X2+ 192X + 64
2
True Or False
? The
Fourth
Derivative
of the
Cos(X)
is equal to
- Cos(X).
FALSE
TRUE
3
Given Y = 1/X. What is the derivative of Y?
1/X2
X-2
-1/X2
-X-2
4
If F(X) = √(X), then what does F'(X) = ?
1/2√(X)
1/√(X)
1/2X
1/X
5
Given Y = -25Cos(X) + 44Sin(X). What is Y'''' = ? (Recommendation calculate all 4 derivatives)
-25Cos(X)+ 44Sin(X)
25Sin(X) + 44Cos(X)
-25Sin(X) - 44Cos(X)
25Cos(X) - 44 Sin(X)
6
Find DY/DX, If Y=(X
2
+ 1) (X
3
+ 3)
5X4 + 3X2 + 6X
2X+3X2
6X3
5X3 + 3X2 + 6
7
Given Y = -25Cos(X) + 44Sin(X). Which of the following is incorrect?
Y'' = 25Cos(X) - 44 Sin(X)
Y''' = -25Cos(X)+ 44Sin(X)
Y' = 25Sin(X) + 44Cos(X)
Y''' = 25Sin(X) - 44Cos(X)
8
Given Y = -25Cos(X) + 44Sin(X). What is Y' = ?
-25Sin(X) - 44Cos(X)
25Cos(X) + 44 Sin(X)
-25Cos(X) + 44 Sin(X)
25Sin(X) + 44Cos(X)
9
Now Calculate the derivative of Y= 1/X
5
-5X4
1/(-5X6)
-5X-6
-5X4
10
Given Y= 1/X
5
. What is an equivalent equation?
X-5
-X5
-X<font size="2">-5</font>
11
If F(X) = 2X
3
+100X
2
+ 89X + 10, then what will the F'''(X) = ?
65
200X
12
12X
12
If F(X) = X
3
What is F’(X) = ?
3X3
X2
3X
3X2
13
If Y= 5X
2
+ 10X + 5 Sin(X), Find Y'(X).
10X + 10X + 5 Sin(X)
5X2 + 10X + 5 Sin(X)
10X + 5 Cos(X)
10X + 10 + 5Cos(X)
14
Part One: Given Y= (5X
2
+ 12X + 8)
2
. Expand
out the equation for the next problem.
20X4 + 100X3 +200X2 + 192X + 64
25X4 + 120X3 +224X2 + 192X + 64
25X6 +120X3 +224X2 + 192X + 64
15
True Or False
? The
Derivative
of the
Cosine
function is the
negative
of the
Sine
function?
TRUE
FLASE
16
If F(X) = √(2X), what is F'(X) = ?
1/2X
1/(2√(X))
2X
1/√(X)
17
If Y = Tan(X) + 10Cos(X) + 144Sin(X). What is Y' = ?
Sec2(X) +10Sin(X) + 144Cos(X)
Sec2(X) + 10Sin(X) + 144Sin(X)
Sec2(X) - 10Sin(X) + 144Cos(X)
TanX + 10Sin(X) + 144Sin(X)
18
If F(X) = Sin(X), then what is F''(X) = ?
-Cos(X)
-Sin(X)
Cos(x)
Sin(X)
19
Given Y= 10X
5
+ 25X
4
+ 10X
2
+ 45.What is Y'' = ?
50X4 + 100X3 + 20X
50X2 + 100X + 20
200X3 + 300X2 + 20
20
Find the second derivative if Y= 4 - 2X - X
-3
-12X-5
-2 + 3X-4
12X-5
21
If
u
and
v
two differentiable functions of x, then their sum u + v is differentiable as well.
FALSE
TRUE
