The function is .

   (Apply the derivative with respect to x)

    (Derivative of the natural exponential function)

          (Inner derivative of \\'2x\\' is 2)

  (Slope )

This equation is passes to throught the point (0, 1) \ \

So,    ()

The point slope form is

  (Substitute )

          (Add 1 to each side)

Therefore the tangent line equation is  .