Asked by Brett
Evaluate the derivatives by implicit differentiation. Assume all letters represent constants, except for the independent and dependent variables occurring in the derivative.
𝑃𝑉^𝑐=𝑛𝑅𝑇
𝑃𝑉^𝑐=𝑛𝑅𝑇
Answers
Answered by
oobleck
Assuming that only c and n are constants, then we have
V^c dP/dT + cPV^(c-1) dV/dT = n(T dR/dT + R dT/dT)
you can replace /dT with any other varying quantity, such as time, etc.
Somehow I don't think this is what you are looking for, but since your question was rather vague, it's the best I can do so far.
All you really need for implicit derivatives is the chain rule, product rule, quotient rule.
V^c dP/dT + cPV^(c-1) dV/dT = n(T dR/dT + R dT/dT)
you can replace /dT with any other varying quantity, such as time, etc.
Somehow I don't think this is what you are looking for, but since your question was rather vague, it's the best I can do so far.
All you really need for implicit derivatives is the chain rule, product rule, quotient rule.
Answered by
Brett
Hi oobleck, the question asks for DP/DV, sorry for not including this earlier.
Answered by
juanpro
wrong
Answered by
juanpro
-c*P/V good
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