Find the Curve Y = F(x) in the Xy-Plane That $f ( x )$

question 136

Multiple Choice

Find the curve y = f(x) in the xy-plane that has the given properties.
- $f ( x )$ has a slope at each point given by $- \frac { 1 } { x ^ { 2 } }$ and passes through the point $\left( \frac { 1 } { 4 } , 7 \right)$

• A) \(y = \frac { 3 } { x ^ { 3 } } + 3\)
• B) \(y = \frac { 1 } { x } + 3\)
• C) \(y = \frac { 2 } { x } + 3\)
• D) \(y = - \frac { 1 } { x } + 5\)

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