Derivative memorization & formulas

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Last updated 5:42 AM on 4/10/26
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8 Terms

1
New cards

d

— 1/x =

dx

-1/x2

2
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d

— √x =

dx

1/2√x

3
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d

— ax =

dx

ax lna

4
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d

— ln |x| =

dx

1/x

5
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d

— loga |x| =

dx

1/xlna

6
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product rule

(f(x)*g(x))’ = f ‘ (x) * g(x) + f(x)* g ‘ (x)

7
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quotient rule

(f(x)/ g(x)) = (f ‘ (x)*g(x) - f(x)* g ‘ (x)) / [g(x)]2

8
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chain rule

d

— (f(g(x)) = f ‘ (g(x)) * g ‘ (x)

dx