Find $\frac { d y } { d x }$ For the Equation

question 23

Multiple Choice

Find $\frac { d y } { d x }$ for the equation $\sqrt { x y } = x - 20 y$ by implicit differentiation and evaluate the derivative at the point $( 100,4 )$ .

• A) \(- \frac { 1 } { 25 }\)
• B) \(\frac { 1 } { 25 }\)
• C) \(\frac { 3 } { 25 }\)
• D) \(- \frac { 3 } { 25 }\)
• E)0