Calculus, Maths Flashcards

1
Q

Derivative of arcsinx

A

1/sqrt.(1-x^2)

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2
Q

Derivative of arccosx

A

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

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3
Q

Derivative of arctanx

A

1/(1+x^2)

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4
Q

Derivative of arcsinx/a

A

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

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5
Q

Derivative of arctanx/a

A

a/(a^2+x^2)

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6
Q

Derivative of tanx

A

sec^2x

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7
Q

Derivative of cotx

A

-cosec^2x

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8
Q

Derivative of secx

A

secxtanx

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9
Q

Derivative of cosecx

A

-cosecxcotx

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10
Q

When a function is even

A

f(-x) = f(x), symmetry around a point can double integral

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11
Q

When a function is odd

A

f(-x) = -f(x), between symmetry point, area is 0

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