I need to find the derivative of the following function......
y=a*(exp^(-x/b))+c
can anyone please help me!
Many thanks
Alternatively you could go this route
$\displaystyle y=ae^{\frac{-x}{b}}+C$
Disregarding the C as 0 when differentiated we just need to tackle
$\displaystyle y=ae^{\frac{-x}{b}}\Rightarrow\ln(y)=\ln\bigg(ae^{\frac{-x}{b}}\bigg)=\ln(a)-\frac{x}{b}$
so differentinag the left side implicitly and the right side regularly we get
$\displaystyle \frac{y'}{y}=\frac{-1}{b}$
so seeing that y is the original equation we get
$\displaystyle y'=\frac{-a}{b}e^{\frac{-x}{b}}$