The curve has a vertical tangent at the point

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The curve x+y−ln⁡(x+y)=x+5x+y-\ln(x+y)=x+5 has a vertical tangent at the point (α,β)(\alpha,\beta). Then α+β\alpha+\beta is equal to (1) −1-1 (2) 11 (3) 22 (4) −2-2

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