The tangent to y = e²ˣ at the point (0, 1) meets the x-axis at which point?
A
(0, 1)
B
(−1/2, 0)
C
(2, 0)
D
(−1, 0)
Correct Option:
B
Explanation
For y = e²ˣ, dy/dx = 2e²ˣ. At (0, 1), the slope is 2. Thus the tangent is y − 1 = 2(x − 0), or y = 2x + 1. Setting y = 0 gives x = −1/2. So the tangent meets the x-axis at (−1/2, 0).
