AP Calc AB Derivative Review

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8 Terms

1
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<p>(d/dx)(sin<sup>-1</sup>(x))</p>

(d/dx)(sin-1(x))

1/(1-x²)(1/2)

<p>1/(1-x²)<sup>(1/2)</sup></p>
2
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<p>(d/dx)(cos<sup>-1</sup>(x))</p>

(d/dx)(cos-1(x))

-1/(1-x²)(1/2)

<p>-1/(1-x²)<sup>(1/2) </sup></p>
3
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<p>(d/dx)(tan<sup>-1</sup>(x))</p>

(d/dx)(tan-1(x))

1/(1+x²)

<p>1/(1+x²)</p>
4
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<p>(d/dx)(cot<sup>-1</sup>(x))</p>

(d/dx)(cot-1(x))

-1/(1+x²)

<p>-1/(1+x²) </p>
5
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<p>(d/dx)(sec<sup>-1</sup>(x))</p>

(d/dx)(sec-1(x))

1/(|x|(x²-1)(1/2))

<p>1/(|x|(x²-1)<sup>(1/2)</sup>)</p>
6
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<p>(d/dx)(csc<sup>-1</sup>(x))</p>

(d/dx)(csc-1(x))

-1/(|x|(x²-1)(1/2))

<p>-1/(|x|(x²-1)<sup>(1/2)</sup>)</p>
7
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<p>(d/dx)(a<sup>x</sup>)</p>

(d/dx)(ax)

a^x (lna)

<p>a^x (lna)</p>
8
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<p>(d/dx)(log<sub>a</sub>x)</p>

(d/dx)(logax)

1/(xlna)

<p>1/(xlna)</p>