4. Suppose that the following information about a function f is known. It has continuous partial derivatives. From point (0,0) in the direction of point (3, 4), the directional derivative is known to be 2. From point (0,0) in the direction of point (5, 12), the directional derivative is determined to be 5. Determine the gradient of the function at the origin, and approximate (to two decimal places) the direction in which the directional derivative is most negative. (This is an example of the core step of the method of gradient descent, which is widely used to numerically approximate the location of critical points.)

Q: Find the maximum value of the directional derivative at the point (3, 4) of the function f(x) Round…

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A: As per guidelines, we will solve first question only.

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Q: Find a function

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A: Function, Tx, y, z=x2y+y2z

Q: //welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6…

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Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

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