( e x ) ′ = lim Δx→0 e x+Δx − e x Δx = lim Δx→0 e x ( e Δx −1 ) Δx = e x { lim Δx→0 e Δx −1 Δx } = e x ( ∵ lim Δx→0 e Δx −1 Δx =1 )