Derivatives

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19 Terms

1
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Derivative: sinx

cosx

2
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Derivative: cosx

-sinx

3
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Derivative: tanx

(secx)^2

4
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Derivative: cscx

-(cscx)(cotx)

5
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Derivative: secx

secx)(tanx)

6
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Derivative: cotx

-(cscx)^2

7
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Derivative: arcsinx

1/sqrt(1-x^2)

8
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Derivative: arccosx

-1/sqrt(1-x^2)

9
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Derivative: arctanx

1/(1+x^2)

10
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Derivative: a^x

(a^x)ln(a)

11
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Derivative: ln(x)

1/x

12
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Derivative: loga(x)

1/(xln(a))

13
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Integral: 1/x or x^-1
ln|x| + c
14
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Integral: 1/(ax+b)
(1/a)ln|ax+b| + c
15
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Integral: tanx
-ln|cosx| +c or ln|secx| + c
16
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Integral: a^x
(a^x)/lna + c
17
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Integral: ln(x)
xln(x) - x + c
18
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Integral: xe^x
(x-1)e^x + c
19
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Integral: 1/(xln(x))
ln|ln(x)| + c