Bsp 22

[dj_m.o.h.t.]

Es sei gu(u,v)=d/du * g(u,v) = vsin(uv) und gv(u,v)=d/dv * g(u,v) = usin(uv). Man bestimme h(t)=d/dt * g(t^2-1,3t)!

[dj_m.o.h.t.]

g(u,v) = -cos(u*v)

u = t^2 - 1

v = 3t

g(u,v) = d/dt = -cos(3t^3 - 3t) = (9t^2 - 3) * sin(3t^3 - 3t)