Question

Find dy/dx of (1/4)(2^(x))

Answer 1

\[\frac{ 1 }{ 4 }*2^x=\frac{1 }{ 4 }*\frac{ d 2^x}{ dx}\]

Answer 2

=(2^x *ln2)/4

Answer 3

If you're not familiar with the formula for the derivative, it can always be derived:
\[\begin{align*}
\frac{1}{4}2^x&=\frac{2^x}{2^2}\\\\
&=2^{x-2}\\\\
&=e^{\ln2^{x-2}}\\\\
&=e^{(x-2)\ln2}\\\\
\frac{d}{dx}\left[\cdots\right]&=\ln2~e^{(x-2)\ln2}\\\\
&=\ln2~e^{\ln2^{x-2}}\\\\
&=\ln2~2^{x-2}\\\\
&=\frac{\ln2}{4}~2^x\\\\
&=\frac{\ln2}{4}~2^x
\end{align*}\]