Suppose that f is a twice differentiable function and that its second partial derivatives are continuous. Let h(t) = f(x(t), y(1)) where x= e' and y = 4t. Suppose that f(1,0) = 3, f,(1,0) = 1, fxx(1,0) = 4, fyy(1,0) = 1, and fry(1,0) = 3. %3D d?h dt 2 Find when t = 0.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Suppose that f is a twice differentiable function and that its second partial derivatives are continuous.
Let h(t) = f(x(t), y(t)) where x = e' and y = 4t.
Suppose that f(1,0) = 3, fj(1,0) = 1, fx(1,0) = 4, fyy(1,0) = 1, and fy(1,0) = 3.
d?h
dt2
Find
when t = 0.
Transcribed Image Text:Suppose that f is a twice differentiable function and that its second partial derivatives are continuous. Let h(t) = f(x(t), y(t)) where x = e' and y = 4t. Suppose that f(1,0) = 3, fj(1,0) = 1, fx(1,0) = 4, fyy(1,0) = 1, and fy(1,0) = 3. d?h dt2 Find when t = 0.
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