Assuming That the Equations Define X and Y Implicitly as Differentiable

Multiple Choice

Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- $$2 x - t ^ { 2 } - t = 0,2 t y + 6 t ^ { 2 } = 6 , t = 1$$

A) - 6
B) 9
C) - 9
D) - 4