3. For the function G(z) = (e-")´ (Ve-") (e-) -9x (a) use exponent properties to simplify the function G in the format ep(=), where p(x) is a polynomial function of x. (b) find the value(s) of x for which G(x) = 10-2021 ( start by taking the logarithm of both sides of the equation. Use your answer from part (a) for G(x) ) use part (a) to calculate a formula for the derivative of G.

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 70E
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Please, provide clear and detailed steps for all parts of the question. 

3. For the function G(x) = (e-")´ (Ve-")/ (e-)
-4x
е
(a) use exponent properties to simplify the function G in the format eP(¤), where p(x) is a
polynomial function of x.
(b) find the value(s) of x for which G(x) = 10-2021
( start by taking the logarithm of both sides of the equation. Use your answer from part (a) for G(x) )
(c) use part (a) to calculate a formula for the derivative of G.
Transcribed Image Text:3. For the function G(x) = (e-")´ (Ve-")/ (e-) -4x е (a) use exponent properties to simplify the function G in the format eP(¤), where p(x) is a polynomial function of x. (b) find the value(s) of x for which G(x) = 10-2021 ( start by taking the logarithm of both sides of the equation. Use your answer from part (a) for G(x) ) (c) use part (a) to calculate a formula for the derivative of G.
Expert Solution
Step 1

Given,

The function 

Gx = e-4x2e-x2e-9x  

We have to solve part (a), (b) and (c)

 

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