Derivative of Trig, Inverse Trig, and Logarithmic Functions

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14 Terms

1
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d/dx(sin(x))

cos(x)

2
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d/dx(cos(x))

-sin(x)

3
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d/dx(tan(x))

sec²(x)

4
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d/dx(csc(x))

-csc(x)cot(x)

5
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d/dx(sec(x))

sec(x)tan(x)

6
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d/dx(cot(x))

-csc²(x)

7
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d/dx logb(x)

1/[(x)(ln)(b) × (d/dx)

8
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d/dx ln(x)

1/(x) × (d/dx)

9
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d/dx(sin⁻¹(x))

1/(√(1-x²)

10
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d/dx(cos⁻¹(x))

-1/(√(1-x²)

11
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d/dx(tan⁻¹(x))

1/(1+x²)

12
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d/dx(csc⁻¹(x))

-1/x(√x²-1)

13
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d/dx(sec⁻¹(x))

1/x(√x²-1)

14
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d/dx(cot⁻¹(x))

1/(1+x²)