Home/Calculus II/Exponential growth and decay/Half-life for k<0k<0k<0:16.2. Exponential growth and decayHalf-life for k<0k<0k<0:In 16.2. Exponential growth and decayFormulaCopy LaTeXt1/2=ln2∣k∣.t_{1/2}=\frac{\ln2}{|k|}.t1/2=∣k∣ln2.Tagsantiderivativeecuaciones diferencialesequations differential growth and decay exponentialVariablestttParámetro o variable auxiliarkkkConstante real distinta de cero (en muchos contextos)Found an error? Contact us.Related formulasRelatedFormuladydt=ky⟹y(t)=y0ekt.\frac{dy}{dt}=ky \quad\Longrightarrow\quad y(t)=y_0e^{kt}.dtdy=ky⟹y(t)=y0ekt.Open formulaOpen in section