Question
Question: The tangent to the curve y = e<sup>2x</sup> at the point (0, 1) meets the x- axis at...
The tangent to the curve y = e2x at the point (0, 1) meets the x- axis at
A
(0, 0)
B
(2, 0)
C
(–1/2, 0)
D
None of these
Answer
(–1/2, 0)
Explanation
Solution
dxdy = 2e2x ; (dxdy)0,1=2
equation of tangent y–1= 2x at x-axis
y = 0; x = –1/2