Find the Equation of the Tangent Line For $( x y ) ^ { 2 } + ( x y ) - x = 10$

question 86

Multiple Choice

Find the equation of the tangent line for $( x y ) ^ { 2 } + ( x y ) - x = 10$ at the point $( - 10,0 )$ .

• A) \(y = - 10 x - 1\)
• B) \(y = - \frac { 1 } { 10 } x + 1\)
• C) \(y = - \frac { 1 } { 10 } x - 1\)
• D) \(y = - 10 x - 2\)
• E) \(y = - \frac { 1 } { 10 } x - 2\)

---

Definitions:

T-butyl Iodide

An organic compound used in synthesis, characterized by an iodine atom bonded to a tertiary butyl group.

Isopropyl Chloride

A chlorinated hydrocarbon with the formula CH3CHClCH3, used as an organic solvent and chemical intermediate.

Major Organic Product

The primary substance produced in the highest yield from an organic chemical reaction.

Stepwise Mechanism

A chemical reaction pathway that occurs in multiple stages, with each step having its own transition state and intermediate.