1. The Derivatives of ax and logax
OBJECTIVE
Differentiate functions involving ax.
Differentiate functions involving logax.
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2. 3.5 The Derivatives of ax and logax
THEOREM 12
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3. 3.5 The Derivatives of ax and logax
Example 1: Differentiate:
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4. 3.5 The Derivatives of ax and logax
Quick Check 1
Differentiate:
a.)
b.)
c.)
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5. 3.5 The Derivatives of ax and logax
THEOREM 14
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6. 3.5 The Derivatives of ax and logax
Example 2: Differentiate:
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7. 3.5 The Derivatives of ax and logax
Example 2 (concluded):
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8. 3.5 The Derivatives of ax and logax
Quick Check 2
Differentiate:
a.)
b.)
c.)
d.)
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9. 3.5 The Derivatives of ax and logax
Section Summary
The following rules apply when we differentiate exponential and logarithmic functions whose bases are positive but not the number :
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