Calculus
Textbooks
Boundless Calculus
Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Partial Derivatives
Calculus Textbooks Boundless Calculus Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus Partial Derivatives
Calculus Textbooks Boundless Calculus Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus
Concept Version 7
Created by Boundless

Partial Derivatives

Graph of $z = x^2 + xy + y^2$

Graph of z=x2+xy+y2z = x^2 + xy + y^2z=x​2​​+xy+y​2​​

For the partial derivative at (1,1,3)(1, 1, 3)(1,1,3) that leaves yyy constant, the corresponding tangent line is parallel to the xzxzxz-plane.

Source

    Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:

    "Partial derivative."
    http://en.wikipedia.org/wiki/Partial_derivative Wikipedia CC BY.

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