Suppose that f(x,y) is given, and that g is defined by g(s,t)=f(st,s^2−t^2) If ∇f(2,−3)=(−10,−8), find ∇g(1,2). ∇g(1,2)= What hypothesis must f satisfy?: f must be differentiable at

Q: 1) For f(x, y,z) = x2 – (1 – y)? + z?. Find directional derivative of f at P(1, 1, 1) in the…

A: Given that  f(x,y,z)=x^2-(1-y)^2+z^2 Point P(1,1,1) Vector is a=(0,3,4)  To find the directional…

Q: f(x,y,z)=5sin(xyz), (a,b,c)=(1,1,π/4), and v⃗ =(3,-√2,3). Calculate the directional derivative…

A: Here we will evaluate each expression.

Q: Suppose that f(z,y) is differentiable, and suppose that the directional derivative of f at the…

A:

Q: R(t) = = {{In(3 In(3 – t), (0, -1, 4), 4t-8 4-t2⁹ 8), 3t² – 8 t#2 t = 2.

A:

Q: Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at…

A: