Derivative Rules

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14 Terms

1
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d/dx (sinx)

cos(x)

2
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d/dx (cos(x))

-sin(x)

3
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d/dx (tan(x))

sec^2(x)

4
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d/dx (sec(x))

sec(x)tan(x)

5
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d/dx (csc(x))

-csc(x)cot(x)

6
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d/dx (cot(x))

-csc^2(x)

7
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d/dx (sin^-1(x))

1/√(1-x^2)

8
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d/dx cos^-1(x)

-1/√(1-x^2)

9
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d/dx tan^-1(x)

1/(1+x^2)

10
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d/dx csc^-1(x)

-1/|x|√x^2-1

11
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d/dx sec^-1(x)

1/|x|√x^2-1

12
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d/dx cot^-1(x)

-1/1+x

13
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Absolute Max and Min

Plug your critical values and endpoints into the function, the highest is absolute and the lowest is min.

14
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Definite Integral U sub

Plug the lower and upper limit into your u and solve. Those are your new upper and lower limit.