Given = zx+xy+yz whereas z=e-t, y=et and x=et-1 find the value of the partial derivative of ‘f’ with respect to ‘t’ by mentioning the rule used by you clearly in detail.
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Step-by-step explanation:
f = (e - t) ( et- 1) + (et -1) (et) + (et) (e- t)
df/dt = (-1) (et - 1) + (e - t) (e) + (e) (et) + (et- 1) (e) + (e) (e - t) + (et) (-1)
= 2 e^2 t - 4et + 2e^2 - e + 1.
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