Lesson 23 Partial Derivatives MATH 1314 Lesson 23 Partial Derivatives

Partial Derivatives

First Order Partial Derivatives fx(x,y)=Derivative(f(x, y),x) fy(x,y)=Derivative(f(x, y),y)

Derivative(f(x, y),x) Derivative(f(x, y),y)

fx(x,y)=Derivative(f, x) fy=Derivative(f, y) fy(-1,3)

Second Order Partial Derivatives

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)

fx(x,y)=Derivative(f(x, y),x) fy=Derivative(f,y) fy(125,27)

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