Exercise 13

Let \(p(t) = f(g(t), h(t))\), where \(f\) is differentiable, \(g(2) = 4\), \(g'(2) = -3\), \(h(2) = 5\), \(h'(2) = 6\), \(f_x(4, 5) = 2\), \(f_y(4, 5) = 8\). Find \(p'(2)\).