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5. Consider the equation: $xe^y - y = x^2 - 2$. Use implicit differentiation to find $y'$ and evaluate $y'$ at $(2, 0)$. 6. A boat is being pulled toward a dock. Suppose 

          5. Consider the equation: $xe^y - y = x^2 - 2$. Use implicit differentiation to find $y'$ and evaluate $y'$ at $(2, 0)$.
6. A boat is being pulled toward a dock. Suppose
5. Consider the equation: xe^y - y = x^2 - 2. Use implicit differentiation to find y' and evaluate y' at (2, 0). 6. A boat is being pulled toward a dock. Suppose

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Please answer #5 showing work. 1 + 1nx 5. Consider the equation: xey - y = x^2 - 2. Use implicit differentiation to find y' and evaluate y' at (2, 0). 6. A boat is being pulled toward a dock. Suppose
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Transcript

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00:01 Hi, in this question, given equation is 5x squared plus 2x plus xy equal to 1.
00:08 Here, given that y of 1 equals minus 6, we need to find y dash of 1.
00:16 Here we need to use the implicit differentiation.
00:19 On differentiating with respect to x, then we get d by d x of 5x squared plus 2x plus x plus xy equals d by d x of 1.
00:32 By applying the power rule, then we get 10x plus 2 plus here uv method.
00:39 So x into dy by d x plus y into 1 which is equal to 0.
00:46 It can be rewrite as x y dash equals minus 10x minus 2 minus y...
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