For what values of a and b are y = a b^x and y = 4 + x tangent at x = 0
im guessing i have to find the derivative but im not quite sure.
Thank you
There are two conditions to be made,
I) Both functions must have a common point at
II) Their derivatives have to be equal at that point.
I)
When ,
So both functions must have a point at (0,4).
The function becomes,
II)
(At x = 0),
Derivatives have to be equal.. So,
Finally,