- #1
chy1013m1
- 15
- 0
Just to confirm, is the directional derivative of a vector valued function calculated as Lu ? where L is the Frechet derivative , and u is the unit vector in the direction.
There seem to be a lot of sources for a real valued function's directional derivative, but very little on vector valued function in Rm.
it says DuF(directional derivative) = lim (F(x + tu) - F(x)) / t as t->0
if F is diff'ble, then -] L , then just set h = tu, we get the desired result?..
There seem to be a lot of sources for a real valued function's directional derivative, but very little on vector valued function in Rm.
it says DuF(directional derivative) = lim (F(x + tu) - F(x)) / t as t->0
if F is diff'ble, then -] L , then just set h = tu, we get the desired result?..