Assuming That the Equations Define X and Y Implicitly as Differentiable

question 137

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.
- $$x ( t + 1 ) - 4 t \sqrt { x } = 36,2 y + 4 y ^ { 3 / 2 } = t ^ { 3 } + t , t = 0$$

• A) \(- 24\)
• B) \(- 12\)
• C) \(- \frac { 1 } { 24 }\)
• D) \(- \frac { 1 } { 12 }\)

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