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Given two curves: y=f(x) passing thro...

Given two curves: `y=f(x)` passing through the point `(0,1)` and `g(x)=int_(-oo)^xf(t)dt` passing through the point `(0,1/n)dot` The tangents drawn to both the curves at the points with equal abscissas intersect on the x-axis. Find the curve `y=f(x)dot`

A

`y = e^(nx)`

B

y = nx

C

y = nlnx

D

`y = nx^(2)`

Text Solution

Verified by Experts

`f(x) = e^(nx)`
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