Derivatives of inverse trig functions Flashcards

1
Q

(X^a)’=?

A

ax^(a-1)

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2
Q

C’=?

A

0

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3
Q

(a^x)’=?

A

a^x lna

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4
Q

(e^x)’=?

A

e^x

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5
Q

(log.a.X)’=?

A

1/(xlna)

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6
Q

(lnx)’=?

A

1/x

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7
Q

(sinx)’=?

A

cosx

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8
Q

(cosx)’=?

A

-sinx

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9
Q

(tanx)’=?

A

sec^2x

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10
Q

(cotx)’=?

A

-csc^2x

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11
Q

(secx)’=?

A

secxtanx

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12
Q

(cscx)’=?

A

-cscxcotx

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13
Q

(arcsinx)’=?

A

1/sqrt(1-x^2)

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14
Q

(arccosx)’=?

A

-1/sqrt(1-x^2)

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15
Q

(arctanx)’=?

A

1/(1+x^2)

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16
Q

(arccotx)’=?

A

-1/(1+x^2)

17
Q

(arcsecx)’=?

A

1/(xsqrt(x^2-1))

18
Q

(arccscx)’=?

A

-1/(xsqrt(x^2-1))