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An investment of $10,000 earns interest at an annual rate of 8.5% compounded continuously. Complete parts (A) and (B) below. Derivatives of Exponential and Logarithmic Functions d For b> 0, b1, dx -ex = e*, cx = cecx d xbx = bx Inb dx dx d 1 d 1 For b> 0, b #1, and x>0, Inx= log bx= dx X' dx In b (})

An investment of $10,000 earns interest at an annual rate of 8.5% compounded continuously. Complete parts (A) and (B) below. Derivatives of Exponential and Logarithmic Functions d For b> 0, b1, dx -ex = e*, cx = cecx d xbx = bx Inb dx dx d 1 d 1 For b> 0, b #1, and x>0, Inx= log bx= dx X' dx In b (})

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 44E
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​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)?

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to
​$11,000
An investment of $10,000 earns interest at an annual rate of 8.5% compounded continuously. Complete parts (A) and (B) below.
Transcribed Image Text:An investment of $10,000 earns interest at an annual rate of 8.5% compounded continuously. Complete parts (A) and (B) below.
Derivatives of Exponential and Logarithmic Functions d For b> 0, b1, dx -ex = e*, cx = cecx d xbx = bx Inb dx dx d 1 d 1 For b> 0, b #1, and x>0, Inx= log bx= dx X' dx In b (})
Transcribed Image Text:Derivatives of Exponential and Logarithmic Functions d For b> 0, b1, dx -ex = e*, cx = cecx d xbx = bx Inb dx dx d 1 d 1 For b> 0, b #1, and x>0, Inx= log bx= dx X' dx In b (})
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