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Lesson 23 Partial Derivatives
MATH 1314 Lesson 23 Partial Derivatives
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Partial Derivatives
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First Order Partial Derivatives
fx(x,y)=Derivative(f(x, y),x) fy(x,y)=Derivative(f(x, y),y)
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Derivative(f(x, y),x) Derivative(f(x, y),y)
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fx(x,y)=Derivative(f, x)
fy=Derivative(f, y) fy(-1,3)
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Second Order Partial Derivatives
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fx(x,y)=Derivative(f, x)
fy(x,y)=Derivative(f, y) fxx(x,y)=Derivative(fx, x) fyx(x,y)=Derivative(fy, x) fxy(x,y)=Derivative(fx, y) fyy(x,y)=Derivative(fy, y) fxy(1,2) fyy(1,2)
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fx(x,y)=Derivative(f(x, y),x)
fy=Derivative(f,y) fy(125,27)
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Popper 28
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