Home/Differential Calculus/Notation, functions and domains/Elementary functionsSection 1.4Elementary functionsFormulaCopy LaTeX(sin2x+cos2x=1)(\sin^2 x+\cos^2 x=1)(sin2x+cos2x=1)Fundamental Pythagorean identity.View detail →FormulaCopy LaTeXax=exlna,a>0a^x=e^{x\ln a},\qquad a>0ax=exlna,a>0a>0a>0a>0View detail →FormulaCopy LaTeXlogax=lnxlna,a>0, a≠1, x>0\log_a x=\frac{\ln x}{\ln a},\qquad a>0,\ a\neq1,\ x>0logax=lnalnx,a>0, a=1, x>0a>0, a≠1, x>0a>0,\ a\neq1,\ x>0a>0, a=1, x>0View detail →
FormulaCopy LaTeX(sin2x+cos2x=1)(\sin^2 x+\cos^2 x=1)(sin2x+cos2x=1)Fundamental Pythagorean identity.View detail →
FormulaCopy LaTeXlogax=lnxlna,a>0, a≠1, x>0\log_a x=\frac{\ln x}{\ln a},\qquad a>0,\ a\neq1,\ x>0logax=lnalnx,a>0, a=1, x>0a>0, a≠1, x>0a>0,\ a\neq1,\ x>0a>0, a=1, x>0View detail →