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Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(xo) ≥ g(x)and h(yo) ≥ h(y) then f(xo, yo) is the absolute maximum value.

Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(xo) ≥ g(x)and h(yo) ≥ h(y) then f(xo, yo) is the absolute maximum value.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(x。) ≥ g(x)and h(yo) ≥ h(y) then f(xo, yo) is the absolute maximum value.
Transcribed Image Text:Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(x。) ≥ g(x)and h(yo) ≥ h(y) then f(xo, yo) is the absolute maximum value.
If a curve K has equation G(x, y) = 0, and G is differentiable and G, and Gy are both not zero at the point P₁ (a, b) on K, then VG(a, b)is a tangent vector to K at P₁.
Transcribed Image Text:If a curve K has equation G(x, y) = 0, and G is differentiable and G, and Gy are both not zero at the point P₁ (a, b) on K, then VG(a, b)is a tangent vector to K at P₁.
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