derivative rules (save me)

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14 Terms

1
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(d/dx) x^n

nx^(n-1)

2
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(d/dx) y

(dy/du)(du/dx)

3
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(d/dx) uv

(v * du/dx) + (u * dv/dx)

4
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(d/dx) u/v

(v * du/dx - u * dv/dx) / v²

5
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(d/dx) log_a(x)

1 / (x * ln(a))

6
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(d/dx) a^x

a^x * ln(a)

7
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(d/dx) e^x

e^x

8
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(d/dx) ln(x)

1/x

9
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(d/dx) sin(x)

cos(x)

10
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(d/dx) cos(x)

-sin(x)

11
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(d/dx) tan(x)

sec²(x)

12
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(d/dx) csc(x)

-csc(x) * cot(x)

13
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(d/dx) sec(x)

sec(x)*tan(x)

14
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(d/dx) cot(x)

-csc(x²)