Math test Flashcards

1
Q

Derivative of e^u

A

e^u * du/dx

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2
Q

Derivative of a^u

A

a^u * ln(a) * du/dx

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3
Q

Derivative of ln(u)

A

1/u * du/dx

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4
Q

Derivative of loga(u)

A

(1/u * lna) * du/dx

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5
Q

What to do when variable raised to variable

A

1) Take lnx of both sides. 2) Use properties of logs. 3) Differentiate implicity. 4) Substitute for y.

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5
Q

derivative of inverse sine (u)

A

(1 / square root (1-u^2))
* du/dx

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6
Q

derivative of inverse tan (u)

A

(1/1+ u^2) * du/dx

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7
Q

Inverse derivatives

A

the derivative of g(a) is equal to (1/ derivative of f(b))

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8
Q

Derivative of tanx

A

sec^2 (x)

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9
Q

Derivative of secx

A

secxtanx

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