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Date: 15-5-2018
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Date: 20-7-2019
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Date: 22-5-2019
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The directional derivative is the rate at which the function
changes at a point
in the direction
. It is a vector form of the usual derivative, and can be defined as
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(1)
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(2)
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where is called "nabla" or "del" and
denotes a unit vector.
The directional derivative is also often written in the notation
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(3)
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(4)
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where denotes a unit vector in any given direction and
denotes a partial derivative.
Let be a unit vector in Cartesian coordinates, so
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(5)
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then
REFERENCES: Kaplan, W. "The Directional Derivative." §2.14 in Advanced Calculus, 4th ed. Reading, MA: Addison-Wesley, pp. 135-138, 1991. Morse, P. M. and Feshbach, H. "Directional Derivatives." In Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 32-33, 1953. |
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إدارة الغذاء والدواء الأميركية تقرّ عقارا جديدا للألزهايمر
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شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
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ضمن مؤتمر الإمام الحجة(عجل الله فرجه) العلمي باحث كويتي يناقش إثبات ولادة الإمام المهدي (عجّل الله فرجه) من التّوقيعات الشّريفة
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