74.2+S 4412

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 84RE
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74.2+S
4412
Transcribed Image Text:74.2+S 4412
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Step 1

The quotient rule of differentiation is as shown on the white board. 

Calculus homework question answer, Step 1, Image 1
Step 2

In our case, the given expression = h(z) = f(z) / g(z) = z3.2 / (z4.2 + 5); Hence f(z) = z3.2 and g(z) = (z4.2 + 5)

Recall the famous rule of differentiation: d(xn) / dx = nxn-1

f'(z) = 3.2z2.2 and g'(z) = 4.2z3.2 

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