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Multivariable CalculusMediumThe Chain Rule & Implicit Differentiation

The Chain Rule & Implicit Differentiation · Medium problem

For a certain gas, P=10TVP = \dfrac{10T}{V} (pressure PP in kPa, temperature TT in K, volume VV in L). At the moment when T=300T = 300 and V=100V = 100, the temperature is rising at 22 K/s and the volume is growing at 11 L/s. Find dPdt\dfrac{dP}{dt} in kPa/s.