Solve d/dx(x^2sin(3x)/ln(x)+e^2x)

$$\frac { d } { d x } ( \frac { x ^ { 2 } \sin ( 3 x ) } { \ln ( x ) + e ^ { 2 x } } )$$

Evaluate

$$\frac{x\left(3x\cos(3x)e^{2x}-2x\sin(3x)e^{2x}+2\sin(3x)e^{2x}+3x\ln(x)\cos(3x)+2\ln(x)\sin(3x)-\sin(3x)\right)}{\left(e^{2x}+\ln(x)\right)^{2}}$$

Differentiate w.r.t. x

$$\frac{-9x^{2}\sin(3x)\left(e^{2x}+\ln(x)\right)^{3}-4\sin(3x)e^{2x}\left(x\ln(x)\right)^{2}-12\cos(3x)e^{2x}\left(x\ln(x)\right)^{2}+12x\cos(3x)\left(e^{2x}+\ln(x)\right)^{3}+2\sin(3x)\left(e^{2x}+\ln(x)\right)^{3}-8x\sin(3x)\ln(x)^{2}e^{2x}-24x^{2}\ln(x)\cos(3x)e^{4x}+8x\ln(x)\sin(3x)e^{2x}-12x\ln(x)\cos(3x)e^{2x}-16x\ln(x)\sin(3x)e^{4x}+4x^{2}\sin(3x)e^{6x}-12x^{2}\cos(3x)e^{6x}-6\ln(x)\sin(3x)e^{2x}+8x\sin(3x)e^{4x}-6x\cos(3x)e^{4x}-8x\sin(3x)e^{6x}-6x\cos(3x)\ln(x)^{2}+2\sin(3x)e^{2x}-3\sin(3x)e^{4x}-3\sin(3x)\ln(x)^{2}+2\ln(x)\sin(3x)}{\left(e^{2x}+\ln(x)\right)^{4}}$$