derivative rules

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13 Terms

1
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(d/dx) logbx

1/((log(b))x)

2
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(d/dx) ln(x)

1/x

3
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(d/dx) bf(x)

bf(x) f’(x) ln(b)

4
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(d/dx) tanx

sec2x

5
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(d/dx) secx

secx tanx

6
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(d/dx) cscx

-cscx cotx

7
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(d/dx) cotx

-csc2x

8
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(d/dx) arctan x

1/(1+x2)

9
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absolute error

| actual value- approximated value|

10
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% relative error

(absolute error/actual value) 100

11
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L(t)

f(a) + f’(a)(x-a)

12
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differential

df= change in f= f’(x) dx

13
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(d/dx) |f(x)|

((f(x))/|f(x)|)(f’(x))