Properties of Logarithms / Derivatives of Logarithmic and Exponential Functions / Derivatives of Inverse Trigonometric Functions

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17 Terms

1
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logb(xy)

logbx+logby

2
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logb(x/y)

logbx-logby

3
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logbxy

ylogbx

4
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ln1

0

5
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ln(ab)

lna+lnb

6
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ln(a/b)

lna-lnb

7
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ln(an)

nlna

8
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ln(u(x))

1/u(x) X u’(x)

9
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y’(bx)

bxlnb

10
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y’(logbu)

1/ulnb X u’

11
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y’(arcsinu)

u’/(sq(1-u2))

12
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y’(arccosu)

-u’/(sq(1-u2))

13
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y’(arctanu)

u’/(1+u2)

14
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y’(arccotu)

-u’/(1+u2)

15
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y’(arcsecu)

u’/(/u/(sq(u2-1)))

16
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y’(arccscu)

-u’/(/u/(sq(u2-1)))

17
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y’(f-1(x))

1/(f’(f-1(x)))