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the curve y e x 0 has a vertical tangent at
Question:
The curve y-eˣ+x=0 has a vertical tangent at:
Show Hint
Vertical tangent occurs when slope is infinite.
BITSAT - 2011
BITSAT
Updated On:
Mar 18, 2026
(1,1)
(1,0)
(0,1)
no point
Show Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Step 1: Differentiate implicitly.
(dy)/(dx)=eˣ-1
Step 2: Vertical tangent condition.
(dy)/(dx)→∞ eˣ-1=0 x=0
Step 3: Corresponding y.
y=1
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