Question

$$\frac{ 1 }{ 2 \sqrt{ x } } \times { 2 }^{ \sqrt{ x } } \ln ( 2 )$$

Evaluate

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

Differentiate w.r.t. x

$\frac{\ln(2)\left(\ln(2)\sqrt{x}-1\right)\times 2^{\sqrt{x}}}{4x^{\frac{3}{2}}}$