Preview of Inverse, Exponential, and Logarithmic Functions
Terms for Topic "Inverse, Exponential, and Logarithmic Functions"
Summary and Analysis
- Inverse Functions
- Problems for "Inverse Functions"
- The Number e and the Natural Log
- Problems for "The Number e and the Natural Log"
- Derivatives of ex and of the Natural Log
- Problems for "Derivatives of ex and of the Natural Log"
- Exponential Growth and Decay
- Problems for "Exponential Growth and Decay"
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Inverse, Exponential, and Logarithmic Functions

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Derivatives of ex and of the Natural Log

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Exponential Growth and Decay

Problems for "Derivatives of e ^x and of the Natural Log"

Problem :

e ^x²

= ?

Solution for Problem 1 >>

Problem :

Π ^x

= ?

Solution for Problem 2 >>

Problem :

dx = ?

Solution for Problem 3 >>

Problem : 4^x dx = ?

Solution for Problem 4 >>

Problem :

x+5

= ?

Solution for Problem 5 >>

Must use logarithmic differentiation

y =

x+5

Take natural log of both sides and bring down exponents

ln y = 2x ln

x+5

Now differentiate, and remember to use the chain rule

		= 2x + ln(x + 5)(2)
		= +2 ln(x+5) x+5^2x

< Previous Section
Derivatives of ex and of the Natural Log

Next Section >
Exponential Growth and Decay

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Inverse, Exponential, and Logarithmic Functions

Problems for "Derivatives of e ^x and of the Natural Log"