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RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

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39. Nadi sve prve parcijalne derivacije funkcije f(x, y, z) = e 2xz − ln(yz) + 1.Rješenje:f x = e 2xz · (2xz) ′ − 0 + 0 == e 2xz · 2z · (x) ′ = e 2xz · 2z · 1 = 2ze 2xzf y = 0 − 1yz · (yz)′ + 0 = − 1yz · z · (y)′ == − 1yz · z = −1 yf z = e 2xz · (2xz) ′ − 1yz · (yz)′ + 0 == e 2xz · 2x · (z) ′ − 1yz · y · (z)′ == e 2xz · 2x · 1 − 1yz · y · 1 == 2xe 2xz − 1 z38

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