Find the instantaneous rate of change of w with respect to z if w=7/3z^2

The instantaneous rate of change of 'w' with respect to 'z', for the function w = 7/3z², is 14/3*z.

The question is asking for the instantaneous rate of change of 'w' with respect to 'z'. To compute this, we need to take the derivative of w with respect to z, for the given function w = 7/3z². Using the power rule, which says that the derivative of z^n is n*z^(n-1), our derivative would be: (7/3)*2*z^(2-1) simplifying this gives 14/3*z. Hence, the instantaneous rate of change of 'w' with respect to 'z' for given function is 14/3*z.

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