Core 3 Flashcards

1
Q

Sin2x

A

2sinxcosx

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2
Q

Cos2x

A

cos^2x-sin^2x
2cos^2-1
1-2sin^2x

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3
Q

tan2x

A

2tanx/(1-tan^2x)

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4
Q

sin(-x)

A

-sinx

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5
Q

cos(-x)

A

cos(x)

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6
Q

tan(-x)

A

-tanx

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7
Q

3 pythagorean identities

A

sin^2x+cos^x=1
1+tan^2x=sec^2x
1+cot^2x=csc^2x

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8
Q

Quotient identities

A

tanx=sinx/cosx

cotx=cosx/sinx

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9
Q

d/dx of e^x

A

e^x

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10
Q

d/dx of e^kx

A

ke^kx

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11
Q

d/dx of lnx

A

1/x

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12
Q

d/dx of sin kx

A

k cos kx

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13
Q

d/dx of cos kx

A

-k sin kx

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14
Q

d/dx of tan kx

A

k sec^2 kx

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15
Q

chain rule

A

dy/dx = dy/du * du/dx

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16
Q

product rule

A

d(uv)/dx = u(dv/dx) + v(du/dx)

17
Q

quotient rule

A

d(u/v)/dx ={ v(du/dx) - u(dv/dx)}/v^2