Question

find the derivative of the function
w(x)=(24e^x)/(4^x)
w'(x)= ??

Answer 1

\[\frac{dw(x)}{dx}= \frac{\frac{d}{dx}(24*e^x)}{4^x}+\frac{24*e^x}{\frac{ d }{ dx }(4^x)}\]
\[\frac{dw(x)}{dx}=\frac{24*(\frac{d}{dx}e^x)}{4^x}+\frac{24*e^x}{\frac{ d }{ dx }(4^x)}\\][\frac{dw(x)}{dx}=\frac{24*e^x}{4^x}+\frac{48*e^x*\ln(2)}{4^x}\]

Answer 2

Do you need further explanation of the second terms derivative?

Answer 3

Sorry, that last term is multiplied by a (-1)