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🟡09a - Directional Derivatives and the Gradient Vector 1
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In this lesson, we are going to discuss Directional derivatives and the gradient vector.
Ever since, we've been looking at the partial derivatives fx and fy which represent the rate of change of the function directed along the x and y axis respectively.
In this lesson we want to determine the rate of change of a function as both x and y are varied simultaneously.
The directional derivative of a functions at a point x,y in the direction of an arbitrary unit vector is given by:
Duf(x,y) = fx(x,y)a + fy(x,y)b
We shall focus more on directional derivatives and introduce the gradient vector in the next lesson
00:00 - Introduction
04:34 - Ex 1
12:09 - Ex 2
19:41 - Ex 3
Playlists on various Course
1. Applied Electricity
2. Linear Algebra / Math 151
3. Basic Mechanics
4. Calculus with Analysis / Calculus 1 / Math 152
5. Differential Equations / Math 251
6. Electric Circuit Theory / Circuit Design
7. Calculus with Several Variables
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
Ever since, we've been looking at the partial derivatives fx and fy which represent the rate of change of the function directed along the x and y axis respectively.
In this lesson we want to determine the rate of change of a function as both x and y are varied simultaneously.
The directional derivative of a functions at a point x,y in the direction of an arbitrary unit vector is given by:
Duf(x,y) = fx(x,y)a + fy(x,y)b
We shall focus more on directional derivatives and introduce the gradient vector in the next lesson
00:00 - Introduction
04:34 - Ex 1
12:09 - Ex 2
19:41 - Ex 3
Playlists on various Course
1. Applied Electricity
2. Linear Algebra / Math 151
3. Basic Mechanics
4. Calculus with Analysis / Calculus 1 / Math 152
5. Differential Equations / Math 251
6. Electric Circuit Theory / Circuit Design
7. Calculus with Several Variables
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
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