Assuming That the Equations Define X and Y Implicitly as Differentiable

question 54

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

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