Total derivative treating all variables as potentially dependent.
Dt[f, x]
Dt[f]
Dt[f, {x, n}]
Dt[f, x1, x2, …]
Dt[5, x]
→ 0Dt[x^4, {x, 3}]
→ 24*xDt[Sin[x], {x, 2}]
→ -Sin[x]Dt[(x^2 - 1)^n, {x, n}]
→ Dt[(-1 + x^2)^n, {x, n}]Dt[x y, {x, 2}]
→ 2*Dt[y, x] + x*Dt[y, {x, 2}]Dt[Dt[y, x], y]
→ 0Dt[x^3, x, x]
→ 6*x