I. Consider the function g defined by 1 g(x, y) : = cos (Tx ) + log3(x – y) In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the maximum directional derivative?

Q: Find the directional derivative of the function z(x,y) = ln(xy²) + sin(x - y) at the point…

A:

Q: Find the directional derivative of the function at the point P(2,1) in the following direction:…

A: The given function is:f(x,y)=3x2y-2xy2+y3-9P=(2, 1)Direction vector:  v=3i-5j

Q: Determine la derivada direccional de f (x, y) = y In z en el punto P (1, 4) en la dirección de v = i…

A: Topic:- calculus

Q: (3/5) What is the directional derivative Duf at the point (3, 1)? Let f (x, y) = x² - y and u =

A:

Q: Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a =…

A: The given function f(x, y, z) = x3z - yx2 + z2.The gradient of a function f is defined as∇f(x, y, z)…

Q: Find the direction in which the function g(x, y) = cos(xy) decreases fastest at the point (1, pi)

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Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

A:

Q: Find the directional derivative of the function at the point P in the direction of the point . f(x,…

A:

Q: Function: h(x, y) = 9y cos (x - y) (0. E) Point: (a) Find the gradient of the function. -9y sin (x –…

A: we have to solve