Question

$$\frac{5\times2^{xy}-\frac{3\times2^{2}}{2}}{3\times2^{x}-2x}$$

Evaluate

$\frac{5\times 2^{xy}-6}{3\times 2^{x}-2x}$

Differentiate w.r.t. x

$\frac{-10\ln(2)xy\times 2^{xy}+15\ln(2)y\times 2^{x\left(y+1\right)}-15\ln(2)\times 2^{x\left(y+1\right)}+10\times 2^{xy}+18\ln(2)\times 2^{x}-12}{\left(3\times 2^{x}-2x\right)^{2}}$