Is z^2 a Constant When Differentiating cos(yz^2) with Respect to y?

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Discussion Overview

The discussion revolves around the differentiation of the function cos(yz²) with respect to the variable y. Participants explore whether the term z² can be considered a constant during this differentiation process.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants suggest that since the differentiation is with respect to y, the term z² can be ignored.
  • Others argue that z² should not be ignored but treated as a constant during differentiation.
  • A participant proposes treating z² as a constant, similar to how one might treat a variable like a in differentiation.

Areas of Agreement / Disagreement

Participants express differing views on whether z² can be ignored or should be treated as a constant, indicating a lack of consensus on the approach to take.

Contextual Notes

The discussion does not clarify the assumptions regarding the nature of z (whether it is a constant or a variable) or the context in which the differentiation is being applied.

JamesGoh
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To differentiate [itex]cos(yz^{2})[/itex] with respect to y


can we simply ignore the [itex]z^{2}[/itex] term in the differentiation ?
 
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yup! since it's with respect to y, z is irrelevant.
 
Do not "ignore" it, treat it like a constant!
 
treat it like a=z^2.. It's a constant when differentiating with respect to y
 

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