FindA, B and C so that the lineAx+By=Cis tangent to the graph of f(x) =exand passes through (0,0).

Answer 1

f(x) = e^x ---> f;(x) = e^x

f'(0) = 1 ---> m=1 is the slope of the tangent line. y=x is then the equation of the tangent line

x - y = 0 --> A=1 B=-1 C= 0

x - y = 0