Application of DerivativeHard
Question
Number of tangents drawn from the point (-1/2, 0) to the curve y = e{x}. (Here { } denotes fractional part function).
Options
A.2
B.1
C.3
D.4
Solution
y = e{x} = ex-a in x ∈ [a, a + 1)
= ex-a = e{x}
equation of tangent
(Y - y) =
(X - x)
passing through (-1/2, 0)
(0 - y) = e{x} (-1/2 - x)
⇒ -1 = -
- x ⇒ x = 
∴ point
Number of tangent = 1
= ex-a = e{x} equation of tangent
(Y - y) =
(X - x) passing through (-1/2, 0)
(0 - y) = e{x} (-1/2 - x)
⇒ -1 = -
- x ⇒ x = ∴ point
Number of tangent = 1
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