Calc Identities

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14 Terms

1
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tan(x)

sec²(x)

2
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cot(x)

-csc²(x)

3
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sec(x)

sec(x)tan(x)

4
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csc(x)

-csc(x)cot(x)

5
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Derivative of a logarithmic function

d/dx[logaX] = 1/Xlna

6
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Derivative of a ln function

d/dx[lnx] = 1/x

7
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sin^-1(x)

1/sqrt(1-x²)

8
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cos^-1

-1/sqrt(1-x²)

9
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tan^-1

1/1+x²

10
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d/dx[ln(x)]

=1/x

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d/dx[a^x]

=a^x • xln(a)

12
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d/dx[loga(x)]

=1/xln(a)

13
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Vertical tangent line on parametric when?

dx/dt = 0

14
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Horizontal tangent line on parametrics when

dy/dt = 0