Find the directional derivative of ø = x² + y² + z² at point (1, 2, 1) for a direction determined by dx = 2dy = −2dz.

Q: dy b) Find the equation of a curve if gradient of the curve at point (x, y) is given by- = 2x3 + x…

A: We have to solve the problem

Q: 8. Find directional derivative of function z = xey at point P(1,0) in the direction from pointP(1,0)…

A:

Q: Find the directional derivative of f(x, y) = exy in the direction u = (,) at (xo, yo): (0,1). 3545…

A: Given query is to find direction derivative.

Q: Find the directional derivative off at the given point in the direction indicated by the angle 0.…

A:

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: Let h(x, y, z) = ln(x² + y² + z²). (a) What is the direction of maximal increase of h at the…

A: Given function:  hx,y,z=lnx2+y2+z2 To find: a) Direction of maximum of h at the 1,1,1. b) The…

Q: (d) Let f(x, y) = 2x² + xy-y². Prove that the directional derivative of f(x, y) at point x = (3,-2)…

A:

Q: Find the directional derivative of the function f(r, y) = xy +x?y? - 2y at the point Po = (2, 1) in…

A: Find the directional derivative of the function at  point.

Q: d'y dx² + 6 dy dx +9y = 9cos3x

A: The objective is to find the derivative of the following:Differentiation formulas:

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 directional derivative of in the direction of the vector (1,3) at the point (-1,2)

A:

Q: Find the direction in which the directional derivative of f(x, y) = x? + sin(xy) at the point (1,0)…

A:

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: