Derivative Equations Flashcards

0
Q

Trig:

dy/dx (cosx)

A

-sinx

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1
Q

Trig:

dy/dx (sinx)

A

Cosx

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2
Q

Trig:

dy/dx (cotx)

A

-csc^2(x)

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3
Q

Trig:

dy/dx (tanx)

A

Sec^2(x)

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4
Q

Trig:

dy/dx (secx)

A

secx tanx

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5
Q

Trig:

dy/dx (cscx)

A

-cscx cotx

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6
Q

Inverse Trig:

D/dx(sin^-1u)

A

[1/(root(1-u^2))]•du/dx

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7
Q

Inverse trig:

d/dx(tan^-1u)

A

[1/(1+u^2)]•du/dx

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8
Q

Inverse trig:

D/dx(sec^-1u)

A

[1/(|u|root(u^2-1))]•du/dx

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9
Q

Exponential:

d/dx(e^u)

A

e^u•du/dx

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10
Q

Exponential:

d/dx(a^u)

A

a^u•lna•du/dx

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11
Q

Logarithmic:

d/dx lnu

A

1/u•du/dx

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12
Q

Logarithmic:

d/dx log base a of u

A

1/(u lna) • du/dx

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