Basic Functions Flashcards

1
Q

d/dx [x^r]=

A

r·x^(r-1)

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2
Q

d/dx [sin(x)]=

A

cos(x)

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3
Q

d/dx [cos(x)]=

A

-sin(x)

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4
Q

d/dx [e^x]=

A

e^x

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5
Q

d/dx [tan(x)]=

A

sec^2x

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6
Q

d/dx [cot(x)]=

A

-csc^2x

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7
Q

d/dx [sec(x)]=

A

sec(x)tan(x)

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8
Q

d/dx [csc(x)]=

A

-csc(x)cot(x)

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9
Q

d/dx [a^x]=

A

ln(a)·a^x

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10
Q

d/dx [ln(x)]=

A

1/x

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11
Q

d/dx [log⬇️b(x)]=

A

1/ln(b) · 1/x

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12
Q

d/dx [arcsin(x)]=

A

1/sqrt(1-x^2)

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13
Q

d/dx [arctan(x)]=

A

1/(1+x^2)

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