Find instantaneous rate of change of 7/3z^2

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SUMMARY

The discussion focuses on finding the instantaneous rate of change of the function w with respect to z, where w is defined as either w = (7/3)z² or w = 7/(3z²). The correct interpretation is crucial for differentiation. If w = (7/3)z², the derivative is straightforward using the power rule. Conversely, if w = 7/(3z²), it can be rewritten as w = (7/3)z⁻², allowing the same differentiation technique to apply.

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"Find the instantaneous rate of change of w with respect to z if w=(7/3z^2)"
excuse the primitive equation...any help?
 
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Just http://mathworld.wolfram.com/Derivative.html" it with respect to z.
 
Last edited by a moderator:
Is that w= (7/3)z2 or w= 7/(3z2)?

I suspect the former which should be easy to differentiate using
(zn)'= n zn-1. If the latter, write it as w= (7/3)z-2 and use the same rule.
 

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