The distance between the origin and the tangent to the curve drawn at the point is

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The distance between the origin and the tangent to the curve

y=e^{2x}+x^2

drawn at the point

x=0

is (a)

\frac{1}{\sqrt{5}}

(b)

\frac{2}{\sqrt{5}}

(c)

\frac{-1}{\sqrt{5}}

(d)

\frac{2}{\sqrt{3}}