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gradiente y2z+2xz2,2xyz,xy2+2x2z
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Solution
[
2z2
2zx
2x2
]
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Função de gradiente de vetor
Para um dado vetor f(x,y,z)o vetor gradiente denotado por ∇(f)é [
∂∂x(fx)
∂∂y(fy)
∂∂z(fz)
]
=[
∂∂x(y2z+2xz2)
∂∂y(2xyz)
∂∂z(xy2+2x2z)
]
∂∂x(y2z+2xz2)=2z2
∂∂y(2xyz)=2zx
∂∂z(xy2+2x2z)=2x2
=[
2z2
2zx
2x2
]
Number Line
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