Multivariable calculus
Derivatives of multivariable functions videos
Explore derivatives in multivariable calculus, enhancing your understanding of gradients, tangent planes, and optimization, essential for tackling complex, real-world problems.
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Partial derivatives
VIDEOS
Partial derivatives, introduction
Khan Academy
•10th - 12th Grade
•10 Qs
Graphical understanding of partial derivatives
Khan Academy
•10th - 12th Grade
•10 Qs
Formal definition of partial derivatives
Khan Academy
•10th - 12th Grade
•10 Qs
Symmetry of second partial derivatives
Khan Academy
•10th - 12th Grade
•10 Qs
Gradient and directional derivatives
VIDEOS
Gradient
Khan Academy
•10th - 13th Grade
•10 Qs
Gradient and contour maps
Khan Academy
•10th - 12th Grade
•10 Qs
Gradient and graphs
Khan Academy
•10th - 12th Grade
•10 Qs
Directional derivative
Khan Academy
•11th - 13th Grade
•10 Qs
Directional derivative, formal definition
Khan Academy
•10th - 12th Grade
•10 Qs
Directional derivatives and slope
Khan Academy
•10th - 12th Grade
•10 Qs
Why the gradient is the direction of steepest ascent
Khan Academy
•11th - 13th Grade
•10 Qs
Differentiating parametric curves
VIDEOS
Vector-valued functions intro
Khan Academy
•10th - 13th Grade
•10 Qs
Vector-valued functions differentiation
Khan Academy
•11th - 13th Grade
•10 Qs
Differential of a vector valued function
Khan Academy
•11th - 13th Grade
•10 Qs
Vector valued function derivative example
Khan Academy
•10th - 12th Grade
•10 Qs
Multivariable chain rule
VIDEOS
Multivariable chain rule
Khan Academy
•10th - 13th Grade
•10 Qs
Multivariable chain rule and directional derivatives
Khan Academy
•11th - 13th Grade
•10 Qs
Multivariable chain rule intuition
Khan Academy
•10th - 13th Grade
•10 Qs
Vector form of the multivariable chain rule
Khan Academy
•11th - 13th Grade
•10 Qs
More formal treatment of multivariable chain rule
Khan Academy
•11th - 13th Grade
•10 Qs
Curvature
VIDEOS
Curvature intuition
Khan Academy
•9th - 12th Grade
•10 Qs
Curvature formula, part 3
Khan Academy
•11th - 13th Grade
•10 Qs
Curvature formula, part 1
Khan Academy
•9th - 12th Grade
•10 Qs
Curvature formula, part 2
Khan Academy
•11th - 13th Grade
•10 Qs
Curvature formula, part 4
Khan Academy
•11th - 13th Grade
•10 Qs
Curvature formula, part 5
Khan Academy
•10th - 13th Grade
•10 Qs
Curvature of a helix, part 1
Khan Academy
•10th - 13th Grade
•10 Qs
Curvature of a helix, part 2
Khan Academy
•10th - 12th Grade
•10 Qs
Curvature of a cycloid
Khan Academy
•10th - 12th Grade
•10 Qs
Partial derivatives of vector-valued functions
VIDEOS
Computing the partial derivative of a vector-valued function
Khan Academy
•10th - 12th Grade
•10 Qs
Partial derivative of a parametric surface, part 2
Khan Academy
•11th - 13th Grade
•10 Qs
Partial derivative of a parametric surface, part 1
Khan Academy
•11th - 13th Grade
•10 Qs
Partial derivatives of vector fields
Khan Academy
•11th - 13th Grade
•10 Qs
Partial derivatives of vector fields, component by component
Khan Academy
•11th - 13th Grade
•10 Qs
Divergence
VIDEOS
Divergence intuition, part 1
Khan Academy
•11th - 13th Grade
•10 Qs
Divergence intuition, part 2
Khan Academy
•10th - 12th Grade
•10 Qs
Divergence formula, part 1
Khan Academy
•10th - 12th Grade
•10 Qs
Divergence formula, part 2
Khan Academy
•11th - 13th Grade
•10 Qs
Divergence example
Khan Academy
•10th - 12th Grade
•10 Qs
Divergence notation
Khan Academy
•11th - 13th Grade
•10 Qs
Curl
VIDEOS
2d curl intuition
Khan Academy
•10th - 12th Grade
•10 Qs
2d curl nuance
Khan Academy
•10th - 12th Grade
•10 Qs
3d curl intuition, part 2
Khan Academy
•10th - 13th Grade
•10 Qs
2d curl example
Khan Academy
•10th - 12th Grade
•10 Qs
3d curl intuition, part 1
Khan Academy
•10th - 12th Grade
•10 Qs
Describing rotation in 3d with a vector
Khan Academy
•9th - 12th Grade
•10 Qs
2d curl formula
Khan Academy
•10th - 12th Grade
•10 Qs
3d curl formula, part 1
Khan Academy
•10th - 13th Grade
•10 Qs
3d curl computation example
Khan Academy
•11th - 13th Grade
•10 Qs
3d curl formula, part 2
Khan Academy
•11th - 13th Grade
•10 Qs
Laplacian
VIDEOS
Jacobian
VIDEOS
Jacobian prerequisite knowledge
Khan Academy
•10th - 12th Grade
•10 Qs
The Jacobian matrix
Khan Academy
•11th - 13th Grade
•10 Qs
Local linearity for a multivariable function
Khan Academy
•11th - 13th Grade
•10 Qs
The Jacobian Determinant
Khan Academy
•11th - 13th Grade
•10 Qs
Computing a Jacobian matrix
Khan Academy
•10th - 12th Grade
•5 Qs
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