If a vector field V = [V_1 V_n] has continuous partial differential^2 V_i/partia

Question

If a vector field V = [V_1 V_n] has continuous partial differential^2 V_i/partial differential x_j partial differential x_j, then if V is a vector field Forall i notequalto j, then A. "none choice": none of the choices under this item number is correct B. partial differential^2 V_i/partial differential x_j partial differential x_j = partial differential V_j/partial differential x_i partial differential x_j C. 2 of the choices under this item number except the "none choice" are correct D. partial differential V_i/partial differential x_j = partial differential V_j/partial differential x_i E. partial differential V_i/partial differential x_i = partial differential V_i/partial differential x_j Rationale:

Explanation / Answer

Answer is b, since b has got the continuous second order derivative . All the second order derivative would be continuous iff partial differentiation with respect to x and y and vice Versa is continuous.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.