How To Find The Directional Derivative and The Gradient Vector

This Calculus 3 video tutorial explains how to find the directional derivative and the gradient vector. The directional derivative is the product of the gradient vector and the unit vector. To find the gradient vector, you need to find the partial derivatives of f with respect to x, y, and maybe z for a 3 variable function. Lines & Planes - Intersection: https://www.youtube.com/watch?v=_W3aVWsMp14 Angle Between Two Planes: https://www.youtube.com/watch?v=7G07dPSlWbY Distance Between Point and Plane: https://www.youtube.com/watch?v=zWMTTRJ0l4w Chain Rule - Partial Derivatives: https://www.youtube.com/watch?v=XipB_uEexF0 Implicit Partial Differentiation: https://www.youtube.com/watch?v=OBELQIPH5xY ________________________________ Directional Derivatives: https://www.youtube.com/watch?v=CnVes9TdnPo Limits of Multivariable Functions: https://www.youtube.com/watch?v=E1lMMBpz8YM Double Integrals: https://www.youtube.com/watch?v=BJ_0FURo9RE Local Extrema & Critical Points: https://www.youtube.com/watch?v=UID893EosM8 Absolute Extrema - Max & Min: https://www.youtube.com/watch?v=Hg38kfK5w4E ________________________________ Lagrange Multipliers: https://www.youtube.com/watch?v=5-CUqogfPLY Triple Integrals: https://www.youtube.com/watch?v=7iy83x8bv6o 2nd Order - Differential Equations: https://www.youtube.com/watch?v=uI2xt8nTOlQ Undetermined Coefficients: https://www.youtube.com/watch?v=P3fc6v191mA Variation of Parameters: https://www.youtube.com/watch?v=Ik3YW1JGr_A ________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections