$$\displaystyle\frac{d}{d x } \left( { \left(2x+3 \right) }^{ { x }^{ 2 } } \right)$$
$2x\left(2x\ln(2x+3)+3\ln(2x+3)+x\right)\left(2x+3\right)^{x^{2}-1}$
$2\left(2x+3\right)^{x^{2}-2}\left(8x^{4}\ln(2x+3)^{2}+18\left(x\ln(2x+3)\right)^{2}+24x^{3}\ln(2x+3)^{2}+8x^{4}\ln(2x+3)+12x^{3}\ln(2x+3)+4x^{2}\ln(2x+3)+12x\ln(2x+3)+9\ln(2x+3)+2x^{4}+6x^{2}+12x\right)$
