Exam 2 Flashcards

1
Q

d/dx (tan)

A

sec^2

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2
Q

d/dx (cos)

A

-sin

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3
Q

d/dx(sin)

A

cos

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4
Q

d/dx (cot)

A

-csc^2

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5
Q

d/dx(csc)

A

-csccot

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6
Q

d/dx(sec)

A

sectan

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7
Q

d/dx(sin-1)

A

1/(sqrt(1-x^2))

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8
Q

d/dx(cos-1)

A

-1/(sqrt(1-x^2))

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9
Q

d/dx(tan-1)

A

1/x^2+1

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10
Q

d/dx(cot-1)

A

-1/x^2+1

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11
Q

d/dx(csc-1)

A

-1/(|x| * sqrt(x^2 - 1))

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12
Q

d/dx(sec-1)

A

1/(|x| * sqrt(x^2 - 1))

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13
Q

a^b

A

e^(bln(a))

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14
Q

d/dx(ln(fx))

A

f’(x)/f(x)

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15
Q

logb(x)

change of base

A

ln(x)/ln(b)

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16
Q

d/dx logb(fx)

A

f’(x)/ ln(b)*f(x)

17
Q

limit definition

A

f(x+h) -f(x)/h
or
f(x)-f(a)/x-a