AP Calculus AB Trig derivatives

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All derivatives for trig

Last updated 6:05 PM on 11/28/24
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20 Terms

1
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<p>Derivative of sinx</p>

Derivative of sinx

cosx

<p>cosx</p>
2
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<p>Derivative of sin(u)</p>

Derivative of sin(u)

cos(u) * derivative of u

<p>cos(u) * derivative of u</p>
3
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<p>Derivative of cosx</p>

Derivative of cosx

-sinx

<p>-sinx</p>
4
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<p>Derivative of cosu</p>

Derivative of cosu

-sinu * derivative of u

<p>-sinu * derivative of u</p>
5
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<p>Derivative of tanx</p>

Derivative of tanx

sec(x) squared

<p>sec(x) squared</p>
6
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<p>Derivative of tanu</p>

Derivative of tanu

sec(u) squared * derivative of u

<p>sec(u) squared * derivative of u</p>
7
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<p>Derivative of secx</p>

Derivative of secx

sec(x)tan(x)

<p>sec(x)tan(x)</p>
8
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<p>Derivative of secu</p>

Derivative of secu

sec(u)tan(u) * derivative of u

<p>sec(u)tan(u) * derivative of u</p>
9
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<p>Derivative of cscx</p>

Derivative of cscx

-csc(x)cot(x)

<p>-csc(x)cot(x) </p>
10
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<p>Derivative of csc(u)</p>

Derivative of csc(u)

-csc(u)cot(u) * derivative of u

<p>-csc(u)cot(u) * derivative of u </p>
11
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<p>Derivative of cotx</p>

Derivative of cotx

-csc^2(x)

<p>-csc^2(x) </p>
12
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<p>Derivative of cot(u)</p>

Derivative of cot(u)

-csc^2(u) * derivative of u

<p>-csc^2(u) * derivative of u </p>
13
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<p>Derivative of e^x</p>

Derivative of e^x

e^x * ln(e).. Remember, ln(e) is equal to one

<p>e^x * ln(e).. Remember, ln(e) is equal to one</p>
14
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<p>Derivative e^u</p>

Derivative e^u

e^u * derivative of u

<p>e^u * derivative of u</p>
15
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<p>Derivative of a^x</p>

Derivative of a^x

a^x times ln(a)

<p>a^x times ln(a)</p>
16
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<p>Derivative of a^u</p>

Derivative of a^u

a^u * ln(a) times derivative of u

<p>a^u *<em> ln(a) times derivative of u</em></p>
17
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<p>Derivative ln(x)</p>

Derivative ln(x)

1/x

<p>1/x</p>
18
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<p>Derivative ln(u)</p>

Derivative ln(u)

1/u * derivative of u

<p>1/u * derivative of u</p>
19
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<p>Derivative of log_a_x</p>

Derivative of log_a_x

1/ln(a) * 1/x

<p>1/ln(a) * 1/x</p>
20
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<p>Derivative of log_a_u</p>

Derivative of log_a_u

1/ln(a) * 1/u times derivative of du/dx

<p>1/ln(a) * 1/u times derivative of du/dx</p>