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Partial Derivatives Partial Derivatives Worksheets

Derivatives

Partial Derivatives

1. \frac{\partial}{\partial x}(xy)

1. \frac{\partial}{\partial x}(xy)

2. \frac{\partial}{\partial y}(\frac{x}{y})

2. \frac{\partial}{\partial y}(\frac{x}{y})

3. \frac{\partial}{\partial x}(\ln(x^{2}+y^{2}))

3. \frac{\partial}{\partial x}(\ln(x^{2}+y^{2}))

4. \frac{\partial}{\partial x}(\sqrt{x^{2}+y^{2}})

4. \frac{\partial}{\partial x}(\sqrt{x^{2}+y^{2}})

5. \frac{\partial}{\partial x}(xe^{xy})

5. \frac{\partial}{\partial x}(xe^{xy})

6. \frac{\partial}{\partial y}(xe^{y})

6. \frac{\partial}{\partial y}(xe^{y})

7. \frac{\partial}{\partial x}(\ln(xy))

7. \frac{\partial}{\partial x}(\ln(xy))

8. \frac{\partial}{\partial x}(e^{xy})

8. \frac{\partial}{\partial x}(e^{xy})

9. \frac{\partial}{\partial x}(xe^{y})

9. \frac{\partial}{\partial x}(xe^{y})

10. \frac{\partial}{\partial x}(13x^{5}-7x^{2}+8y^{3}+2x^{2}y^{2})

10. \frac{\partial}{\partial x}(13x^{5}-7x^{2}+8y^{3}+2x^{2}y^{2})

Answers

Derivatives

Partial Derivatives

1. y

2. -\frac{x}{y^{2}}

3. \frac{2x}{x^{2}+y^{2}}

4. \frac{x}{\sqrt{x^{2}+y^{2}}}

5. e^{xy}+e^{xy}xy

6. xe^{y}

7. \frac{1}{x}

8. e^{xy}y

9. e^{y}

10. 65x^{4}+4xy^{2}-14x