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Duplicate of AP Calculus Derivatives Flashcards | StudBud
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Duplicate of AP Calculus Derivatives
Duplicate of AP Calculus Derivatives
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#math #calculus #derivatives
Flashcards
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Questions
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Answers
1
If a function is continuous then it is differentiable
Tralse
My Kahoot Partners don't know anything
False
True
2
Find the second derivative of f(x) =
6/x^3
4x - 6
2x - 6 + 3/x
2 - 3/x^2
3
The derivative is
the slope of the secant line at a specific point
the slope of the tangent line at a specific point
the slope of the secant line at any point
the slope of the tangent line at any point
4
Find the derivative using quotient rule
(-2x2 + 2x) / (1-2x)2
(1-2x)2
-2x2 + 2x
(-2x2 + 2x) / x
5
Who is most responsible for your education
Your parents
You
Mr. Hart
Your teacher
6
Find the second derivative of
f''(x)=e-2x
f''(x)=-e-2x
f''(x)=-e-x
f''(x)=e-x
7
What is the Quotient Rule
(f ' g - g ' f) / g^2
(f ' g + g ' f) / g^2
f ' g - g ' f
f ' g + g ' f
8
Find the derivative using the quotient rule
f'(x)= 6/(x-6)^2
DNE
f'(x)= -6/(x-6)^2
f'(x)= -6
9
Trig Derivatives & Chain Rule
A
D
B
C
10
For related-rates problems, which is
NOT
my first step?
Write down all known rates and variables that are given.
plug and chug
Write down the variables and rates that I will need to find.
Write down the formulas I will need
11
Chain Rule Trig
√3/2
(3√3)/2
-√3/2
-(3√3)/2
12
What is the key Algebra 2 fact we must know about inverse functions
flip over the x-axis
make everything negative
switch x and y
flip over the y-axis
13
what is the derivative of cscx
cosxtanx
cscxtanx
-secxtanx
-cscxcotx
14
a(b+c)=ab+ac is what property
distributive
identity
commutative
associative
15
What is the derivative of sinx
sinxtanx
-sinx
-cosx
cosx
16
There are how many rules for the definition of continuity
2
3
4
1
17
What is the derivative of cosx
cosxcotx
-sinx
sinx
-cosx
18
What is the Product Rule
(f ' g + g ' f) / g^2
(f ' g + g ' f )/ g^2
f ' g + g ' f
f ' g - g ' f
19
What is the chain rule
f (g(x)) * g (x)
f ' (g(x)) * g ' (x)
f (g(x)) * g ' (x)
f ' (g(x)) * g (x)
20
I.V.T. is the
Intermediate Value Theorem
I Validate Tacos
Intermediate Variable Theorem
Interdisciplinary Value Theorem
21
Find the derivative of the following by using either the product, quotient, or chain rule
40x
10(2x2 - 3)9
40x(2x2 - 3)9
10(4x)9
22
Find the second derivative of....
4*cos(x)-4*x*sin(x)
-4*cos(x)+4*x*sin(x)
4*sin(x)-4*x*sin(x)
4*cos(x)+4*x*sin(x)
23
a(b*c)=(a*b)*c is what property
identify
commutative
Associative
distributive
24
Chain Rule with trig
3sin^2(x)cos(x)
cos^3(x)
3cos^2(x)
-3sin^2(x)cos(x)
25
dy/dx
the derivative of y with respect to x
don't care why, don't call my ex
the derivative with respect to x
the slope with respect to x
26
Using the quotient rule, find the derivative of (x-2)/x?
X/(x-2)
2x
2/x^2
2/x
27
What is the derivative of secx
secxtanx
-secx
cscxcotx
-cscx
28
Find the Derivative Using the Quotient Rule
(-xsin(x)-cos(x))/(x2)
(xsin(x)+cos(x))/(x2)
(-xsin(x)+cos(x))/(x2)
(xsin(x)-cos(x))/(x2)
29
When can I multiply by the conjugate
If the entire denominator is under a radical
If only part of the denominator is under a radical
If it is specifically an expression
If I want the inverse
30
How do I know when to use implicit differentiation?
it gives me a function
it is a word problem
It ask for dy/dx
my equation/expression is not a function
31
Which rule should you use first to find the derivative of (4x)(e
x
)
chain rule
stop drop and roll rule
quotient rule
product rule
32
find the second derivative using the quotient rule
48x^2 -30x +16
16x^3-15x^2+16x-6
none of the above
48x^2
33
Find the derivative of the following equation using the Quotient rule.
1 / x2
- 1 / x2
2 / x2
- 2 / x2
34
Find the second derivative of
- 2sin(2x +1)
- sin( 2x + 1)
- 4 cos(2x + 1)
- 2cos(2x + 1)
35
Find the
second
derivative of
(40/x8)
(36/x8)
(32/x8)
(42/x8)
36
Find the derivative of the following function using either the product, quotient, or chain rule
g'(x) = 1
g'(x) = -sin2x
g'(x) = -cosx sinx
g'(x) = cos2x - sin2x
37
Find the second derivative of √x
2x / (4x2 * √x)
1 / (2√x)
-1 / (4x*√x)
(1 / √x) / 4x
38
Which Rule should be used to find the derivative of sin(3x)
quotient rule
chain rule
give up and cry rule
product rule
