江画工太猩院 例1设z=e",而u=sint,ν=t2, 求 d d t 解 d + dt au dt av dt =ve"·cost+Le4p,2t =tee s (t cost+2sint)江西理工大学理学院 例 1 设 uv z = e ,而u = sin t, 2 v = t , 求 dt dz. 解 = dt dz ⋅ ∂∂uz dt du ⋅ ∂∂ + vz dt dv ve t ue t uv uv = ⋅ cos + ⋅ 2 ( cos 2sin ). sin 2 te t t t t t = +