Is f(x, y) = (x^2)(y^3) + xy^2 − 3x^2 + 4y^2 − 5 differentiable everywhere? Justify your answer. (b) If f is differentiable at P(−1, 1, −4), then find the local linear approximation to f at P. Simplify your answer
Is f(x, y) = (x^2)(y^3) + xy^2 − 3x^2 + 4y^2 − 5 differentiable everywhere? Justify your answer. (b) If f is differentiable at P(−1, 1, −4), then find the local linear approximation to f at P. Simplify your answer
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(a) Is f(x, y) = (x^2)(y^3) + xy^2 − 3x^2 + 4y^2 − 5 differentiable everywhere? Justify your answer.
(b) If f is differentiable at P(−1, 1, −4), then find the local linear approximation
to f at P. Simplify your answer
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