Write formulas for the indicated partial derivatives for the multivariable function.g(k, m) = k^4m^5 − 3kma)g_kb)g_mc)g_m|_(k=2)

texelaare 2021-01-27 Answered

Write formulas for the indicated partial derivatives for the multivariable function.
g(k,m)=k4m53km
a)gk
b)gm
c)gmk=2

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Expert Answer

grbavit
Answered 2021-01-28 Author has 109 answers

g(k,m)=k4m53km (1)
a) Differentiating with respect to x partially, we have
gk=k[k4m53km]
gk=4k3m53m
b) Differentiating with respect to x partially, we have
gm=m[k4m53km]
gm=5k4m43k
c) gm|(k=2)=qm|k=2=5(2)4m432
gmk=2=80m46

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