Application of DerivativeHard
Question
The curve y - exy + x = 0 has a vertical tangent at
Options
A.(1, 1)
B.(0, 1)
C.(1, 0)
D.no point
Solution
y - exy + x = 0
Differentiating w.r.t. to y
1 - exy
= 0
= 0
1 - xexy = 0
xexy = 1 ⇒ x = 1 , y = 0
∴ Point is (1, 0)
Differentiating w.r.t. to y
1 - exy
= 0= 01 - xexy = 0
xexy = 1 ⇒ x = 1 , y = 0
∴ Point is (1, 0)
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