mtt - qmplus.qmul.ac.uk
TRANSCRIPT
MTt.pkTutoriYieekmitnia
EauDm Today Calculus refresher
Gradient and directional derivative
Let f Ix y1 be a function ix g E R2
Gradientof otology Iffy
Gives thedirectionof maximum change off at ix yl
Directional derivative let B Iz a vector
Fos f B Tf r f x t ra f yProvides information on how f changes ni the
direction of B
Chain rule for partial derivativesGiven X y consider new coordinates i.e widependent
variables I yn such that
I Thi y changeof coordinates
y yTxiy
EHR How are off fly relatedto iffy
6 Chain rule for several variables
Eet IIFfog off toffs