derivative rules

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18 Terms

1
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d/dx(x^n) =

nx^(n-1)

2
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d/dx(c) =

0

3
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d/dx(mx) =

m

4
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d/dx(mx+b) =

m

5
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d/dx(f(x) +- g(x)) =

f’(x) +- g’(x)

6
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d/dx(c*f(x)) =

c*f’(x)

7
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d/dx(f(x)*g(x)) =

f’(x)*g(x) + f(x)g’(x)

8
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d/dx(sin(x)) =

cos(x)

9
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d/dx(cos(x)) =

-sin(x)

10
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d/dx(f(x)/g(x)) =

(g(x)*f’(x) - f(x)*g’(x)) / (g(x))²

11
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d/dx(tan(x)) =

sec²(x)

12
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d/dx(sec(x)) =

sec(x)*tan(x)

13
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d/dx(cot(x)) =

-csc²(x)

14
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d/dx(csc(x)) =

-csc(x)*cot(x)

15
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d/dx(f(g(x))) =

f’(g(x))*g’(x)

16
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d/dx(e^x) =

e^x

17
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d/dx(e^f(x)) =

e^f(x)*f’(x)

18
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d/dx(ln(f(x)) =

1/f(x)*f’(x)