Use the chain rule to find the partial derivatives of the following functions
Posted: Tue Jun 07, 2022 6:53 am
Use the chain rule to find the partial derivatives of the
following functions
1. Use x=u², y = 2rs, z = r² af af af du' ar' as 1. f(x, y) = xy + z², 2. f(x,y,z) = xy + 2², x=r+s-2t₁ y = 3rt, z = s² 0f of of ar af af 3. f(x,y) = cos(x-y), x= 3u-5v, y = -7u + 15v, du' dv af af 4. f(x, y, z) = (3x + 4y)5, x=u², y = uv, du' dv 5. f(x, y, z) = x²y³ + z4, x = s², y = st², z = s²t 6. w(x, y, z) = xyz, x = s+t, af af Əs' at y=s-t, z = st² aw aw as' at
following functions
1. Use x=u², y = 2rs, z = r² af af af du' ar' as 1. f(x, y) = xy + z², 2. f(x,y,z) = xy + 2², x=r+s-2t₁ y = 3rt, z = s² 0f of of ar af af 3. f(x,y) = cos(x-y), x= 3u-5v, y = -7u + 15v, du' dv af af 4. f(x, y, z) = (3x + 4y)5, x=u², y = uv, du' dv 5. f(x, y, z) = x²y³ + z4, x = s², y = st², z = s²t 6. w(x, y, z) = xyz, x = s+t, af af Əs' at y=s-t, z = st² aw aw as' at