Find the tangent vector to the curve c(t)= (g(t),h(t), f(g(t),h(t))) on the surface z= f(x,y)=x^2+sin(xy) when t=1, and where x=7t+6 and y=9t^2+6t.
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Find the tangent vector to the curve c(t)= (g(t),h(t), f(g(t),h(t))) on the surface z= f(x,y)=x^2+sin(xy) when t=1, and where x=7t+6 and y=9t^2+6t.