Question

$$( 2 ^ { 4 x } \times 2 ^ { - x } ) ^ { \frac { 1 } { 2 } }$$

Evaluate

$2^{\frac{3x}{2}}$

Differentiate w.r.t. x

$\frac{3\ln(2)\times 2^{\frac{3x}{2}}}{2}$