When differentiating PV(delta) and PV(i)

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If I understand the question correctly, remember that when one is calculating the \(PV'(\delta)\) is the time where we are differentiating an exponential. Recall;

$$\frac{\partial e^{-\delta n}}{\partial \delta} = -n e^{-\delta n} $$

since this is how the derivative of exponentials are defined.

This leads to the difference in appearance of the \(PV'(\delta) \) and \(PV'(i) \).

Consequently, when applying the chain rule to such a problem, the exponents will not change, but rather its coefficients will.