Define directional derivatives.
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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. (1) (2)
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Answer: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. (1) (2)
Step-by-step explanation:To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).
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