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Implicit differentiation Given the following equations,
Chapter 11, Problem 30E(choose chapter or problem)
Implicit differentiation Given the following equations, evaluate dy/dx. Assume that each equation implicitly defines y as a differentiable function of x
\(y e^{x y}-2=0\)
Questions & Answers
QUESTION:
Implicit differentiation Given the following equations, evaluate dy/dx. Assume that each equation implicitly defines y as a differentiable function of x
\(y e^{x y}-2=0\)
ANSWER:Solution 30E
Step 1 of 3:
In this problem we need to find the value of by using the implicit differentiation.
Implicit differentiation: Let F be differentiable on its domain and suppose that F(x , y) = 0
Define y as a differentiable function on x, provided
That is, =
where
denotes partial derivative of F with respect to
and denotes partial derivative of F with respect to
.