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Calculus Memorization
tan(π/4)
cos(π/6)
Calculus Memorization
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Calculus Memorization
Flashcards
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Questions
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Answers
1
cos(π/6)
1
1/2
√3/2
√2/2
2
tan(π/4)
√2/2
-√2/2
-1
1
3
∫1/u du
x-1
ln u
x-2
ln|u|
4
What is the derivative of e
x
ex
ex
ex
ex
5
sin(0)
1
0
-1
1/2
6
∫sec
2
x dx
sec(x)tan(x) + C
-tan(x) + C
2sec(x) + C
tan x + C
7
Choose the definition of the derivative from the options below
a
d
b
c
8
Derivative of the sin(x)
-cos(x)
tan(x)
cos(x)
sin-1(x)
9
cos(8π/12)
1/2
-√3/2
-1/2
√3/2
10
Derivative of the cos(x)
sin(x)
-cos(x)
-sin(x)
cos-1(x)
11
cos(π/3)
1/2
√3/2
√2/2
3/2
12
∫cos(x) dx
-cosx
-sinx
sinx
cosx
13
What is the derivative of cos
-1
1/(1+x2)
1/(√1-x2)
-1/(√1-x2)
-1/(1+x2)
14
f'(a) represents which of the following things
Slope of the tangent line at a
Position of a function
Instantaneous Rate of Change at a
Area under the curve
15
What is the derivative of tan
-1
1/(1+x2)
1/(√1-x2)
-1/(√1-x2)
-1/(1+x2)
16
sin(π/2)
1
-1
2
0
17
What is the derivative of sin
-1
-1/(1+x2)
1/(√1-x2)
1/(1+x2)
-1/(√1-x2)
18
What is the equation for the tangent line to a curve y = f(x) at x=a
y - f(x) = x - a
None of the above
y-f(a)=f'(a)(x-a)
y - a = a'(x-f)
19
cos(π)
1/2
1
0
-1
20
Derivative of tan(x)
tan2(x)
sec(x)tan(x)
sec2(x)
-sec(x)
21
Derivative of ln(x)
1/x
ln2(x)
x-1
ln(x)
22
What is the derivative of the secx
sec2(x)
-tan(x)
tan2(x)
secxtanx
23
∫sec(x)tan(x)
tan2(x)
-sec(x)
-tan(x)
sec(x)
24
∫sinx dx
cos x + C
cot x + C
sin x + C
-cos x + C
