Given f(x,y) = 2+1 find the directional derivative D-f(z,y) for (z,y)=(3, 4) in the direction= the maximum value of the directional derivative. π ; also find

Q: Let = (3, 4, 12) . Find the directional derivative of f(z, y, 2) =1– y² +32³ in the direction of v.

A: Consider the given function, fx,y,z=x-y2+3z3 and v=3,4,12 Now, find the derivative of the function…

Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

A:

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

A:

Q: Let f(x, y) = x² + y²¹e²+3. Find the directional derivative at (−3,−3) in the direction û =…

A:

Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

A:

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A: