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Lesson 23 Partial Derivatives

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1 Lesson 23 Partial Derivatives
MATH 1314 Lesson 23 Partial Derivatives

2 Partial Derivatives

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

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

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

6 Second Order Partial Derivatives

7 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)

8

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

10 Popper 28


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