Question

$$\frac{5\times2^{x1}-\frac{3\times2^{2}}{2}}{3\times2^{x}-2x}$$

Evaluate

$\frac{5\times 2^{x_{1}}-6}{3\times 2^{x}-2x}$

Differentiate w.r.t. x

$-\frac{\left(5\times 2^{x_{1}}-6\right)\left(3\ln(2)\times 2^{x}-2\right)}{\left(3\times 2^{x}-2x\right)^{2}}$