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Assignments

Calculate the first, second and mixed partial derivatives of the following functions.

1. f(x,y)=x^2+y^2+2

Solution

2. f(x,y)=x^3+4y^2+2xy-3

Solution

3. f(x,y)=2xy^2-3xy+y^2-2x

Solution

4. f(x,y)=3xy-x\ln(y)

Solution

5. f(x,y)=3e^{x^2}y-xe^y

Solution

6. Q(L,K)=10L^{0.8}K^{0.2}-3K-2L+2

Solution

7. f(x,y)=5xy+\displaystyle\frac{y}{x}

Solution

8. f(x,y)=xe^{xy^2}

Solution

9. TR(A,W)=5W^2A^3

Solution

10. U(x,y)=6x^{0.5}y^{0.5}

Solution

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