Please teach me how to do Taylor series expansion on this...Thank you

Consider the following function

f(x) = 4x1²+ 2x2²+ sin(x1x2)

wherex= [x1, x2]

,xR2.

(a) Use Taylor's series expansion around the point(0,1) to obtain the first 7 terms in the expansion, i.e.,

up to3rdderivative, without including the3rdderivative.