Shear Stress Formula: Calculating Tau Correctly

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foo9008
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how to get the formula of shear stress (tau) ? i got (-dp/ds -ydz/ds )(r/2) instead of -d(p+yz)/ ds (r/2) as in the book , if it's d(p+yz)/ ds (r/2) m , i would get (-dp/ds -ydz/ds-z(dy/ds) )(r/2) ,, right ?

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P/s : I'm concerned about the derivation part , so i didnt upload the complete version of the note
 

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Is the book wrong?