Matemática, perguntado por andrelisen, 11 meses atrás

Como resolver essa derivada parcial?

Anexos:

Soluções para a tarefa

Respondido por francof23
3
PV=knT\\\\\\

V=\dfrac{knT}{P}\\\\
\dfrac{\delta V}{\delta T}=\dfrac{kn}{P}\\\\\\

T=\dfrac{PV}{kn}\\\\
\dfrac{\delta T}{\delta P}=\dfrac{V}{kn}\\\\\

P=\dfrac{knT}{V}\\\\
\dfrac{\delta P}{\delta V}=-\dfrac{knT}{V^2}\\\\\\\dfrac{\delta V}{\delta T}\cdot\dfrac{\delta T}{\delta P}\cdot \dfrac{\delta P}{\delta V}=\dfrac{kn}{P}\cdot\dfrac{V}{kn}\cdot\left(-\dfrac{knT}{V^2}\right)=-\dfrac{knT}{PV}=-\dfrac{knT}{knT}=-1

andrelisen: Muito obrigadaa!!
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