Write formulas for the indicated partial derivatives for the multivariable function. g(k, m) = k^3m^6 − 8km a)g_k b)g_m c)g_m|_(k=2)

mattgondek4 2021-02-27 Answered
Write formulas for the indicated partial derivatives for the multivariable function.
g(k,m)=k3m68km
a)gk
b)gm
c)gmk=2
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Expert Answer

Khribechy
Answered 2021-02-28 Author has 100 answers
g(k,m)=k3m68km (1)
a) gk=k(k3m68km)
gk=3k2m68m
b) Now,
gm=m(k3m68km)
gm=6k3m58k
c) gmk=2=6x(213m582=68m516
gmk=2=48m516=16(3m51)
gmk=2=16(3m51)
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