Let f(x,y) be a C¹-class function of two variables (i.e. its first order partial derivatives are continuous).

For a composite function of one variable

h(u)=f(3u⁵+2u²+u,4u⁶+3u²)

find the value of derivative h(u) at u= 0 given

f_x(0,0) = -8 , f_y(0,0) = 1 .

Determine h'(0)