Deriv Flashcards

0
Q

d/dx x^n = ?

A

d/dx x^n = nx^(n-1)

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1
Q

d/dx c = ?

A

d/dx c = 0

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2
Q

d/dx e^x = ?

A

d/dx e^x = e^x

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3
Q

d/dx ln(x) = ?

A

d/dx ln(x) = 1/x

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4
Q

d/dx c^x = ?

A

d/dx c^x = ln(c)*c^x

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5
Q

d/dx sin(x) = ?

A

d/dx sin(x) = cos(x)

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6
Q

d/dx cos(x) = ?

A

d/dx cos(x) = -sin(x)

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7
Q

d/dx tan(x) = ?

A

d/dx tan(x) = sec(x)^2

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8
Q

d/dx cot(x) = ?

A

d/dx cot(x) = -csc(x)^2

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9
Q

d/dx sec(x) = ?

A

d/dx sec(x) = sec(x)tan(x)

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10
Q

d/dx csc(x) = ?

A

d/dx csc(x) = -csc(x)cot(x)

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11
Q

d/dx arcsin(x) = ?

A

d/dx arcsin(x) = 1/(sqrt(1-x^2))

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12
Q

d/dx arccos(x) = ?

A

d/dx arcsin(x) = -1/(sqrt(1-x^2))

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13
Q

d/dx arctan(x) = ?

A

d/dx arctan(x) = 1/(1+x^2)

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14
Q

d/dx arccot(x) = ?

A

d/dx arccot(x) = -1/(1+x^2)

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15
Q

d/dx arcsec = ?

A

d/dx arcsec(x) = 1/ (abs(x)sqrt((x^2)-1))

16
Q

d/dx arccsc(x) = ?

A

d/dx arccsc(x) = -1/ (abs(x)sqrt((x^2)-1))

17
Q

d/dx sinh(x) = ?

A

d/dx sinh(x) = cosh

18
Q

d/dx cosh(x) = ?

A

d/dx cosh(x) = sinh

19
Q

d/dx tanh(x) = ?

A

d/dx tanh(x) = 1-tanh(x)^2

20
Q

d/dx coth(x) = ?

A

d/dx coth(x) = 1-coth(x)^2

21
Q

d/dx csch(x) = ?

A

d/dx csch(x) = -coth(x)csch(x)

22
Q

d/dx sech(x) = ?

A

d/dx sech(x) = -tanh(x)sech(x)