What is the derivative of f(x)=e^-8x?
chain rulef'(g(x))=f'(g(x))g'(x)and f'(eˣ)=eˣf'(e^-8x)to make it easier, sub u for g(x)f'(e^-8x)=f'(e^u)g'(-8x)=(e^u)(-8g'(x))=(e^u)(-8(1))=(e^u)(-8)=-8(e^(-8x))=-8e⁻⁸ˣ
