Respuesta :

YOUR INPUT:

[tex]T-Re^{x}[/tex]

FIRST DERIVATIVE:

 [tex]\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}[/tex]

Root/zero found at:

[tex]x=ln(\frac{T}{R} )[/tex]