- #1

Painguy

- 120

- 0

## Homework Statement

For what values of a are y=a^x and y=1+x tangent at x=0? Explain

## Homework Equations

y1=1+x

y2=a^x

y2'=a^xln(a)

y1'=1

## The Attempt at a Solution

Since both equations are tangent at x=0 i set their derivatives equal to each other in hopes of getting a a^xln(a)=1 I then substitute x in that equation with 0 and end up with ln(a)=1.

I end up with a = e. Is this correct?