Elemi Függvények Deriváltjai Flashcards

1
Q

e^x

A

e^x

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2
Q

sin(x)

A

cos(x)

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3
Q

cos(x)

A

-sin(x)

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4
Q

ln(x)

A

1/x

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5
Q

tan(x)

[tg(x)]

A

1/cos^2(x)

Sin(x)/Cos(x)

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6
Q

ctg(x)

A

-1/sin^2(x)

Cos(x)/Sin(x)

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7
Q

a^x

A

e^x ln(a)

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8
Q

Log{a}(x)

A

1/x ln(a)

Ln(x)/Ln(a)

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9
Q

Arcsin(x)

A

1/ \/[1-x^2]

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10
Q

arccos(x)

A

-1/\/[1-x^2]

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11
Q

arctg(x)

A

1/1+x^2

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12
Q

arcctg(x)

A

-1/1+x^2

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