   Chapter 3.6, Problem 20E

Chapter
Section
Textbook Problem

Differentiate the function. H ( z ) = a 2 − z 2 a 2 + z 2

To determine

To find: The derivative of H(z).

Explanation

Given:

The function H(z)=lna2z2a2+z2.

Calculation:

The given function can be expressed as follows,

H(z)=ln(a2z2a2+z2)12=12ln(a2z2a2+z2)                        (Qlnax=xlna)=12(ln(a2z2)ln(a2+z2)) (Qlnab=lnalnb)

Obtain the derivative y.

H(z)=ddz(12(ln(a2z2)ln(a2+z2)))=12(ddz(ln(a2z2))ddz(ln(a2+z2)))=12((1a2z2

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