🟡09b - Find The Gradient Vector and Directional Derivative of the Function 2
In this lesson, we shall continue to look at Directional Derivatives of functions. We shall in this lesson focus more on the for on the gradient of a function i.e a gradient vector.
So given that f is a function of two variables, x and y, then the gradient of the function is said to be
grad of f = (fx,fy)
From the previous lesson, we got to understand that, the directional derivative of a function can be expressed as:
Duf(x,y) = fx a + fy b.
This can further be expressed as:
Duf(x,y) = (fx,fy).(a,b), ie the dot product of the gradient of the function and the unit vector.
We shall solve some more examples on this.
00:00 - Introduction
02:23 - Ex 1
06:32 - Ex 2
12:54 - Ex 3
Playlists on various Course
1. Applied Electricity
• APPLIED ELECTRICITY
2. Linear Algebra / Math 151
• LINEAR ALGEBRA
3. Basic Mechanics
• BASIC MECHANICS / STATICS
4. Calculus with Analysis / Calculus 1 / Math 152
• CALCULUS WITH ANALYSIS / CALCULUS 1 /...
5. Differential Equations / Math 251
• DIFFERENTIAL EQUATIONS
6. Electric Circuit Theory / Circuit Design
• ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN
7. Calculus with Several Variables
• CALCULUS WITH SEVERAL VARIABLES / MAT...
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