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

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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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treat it like a=z^2.. It's a constant when differentiating with respect to y