Solve d/dx(3(x^3-6)^2(x^2+4x-6)^10)

$$\frac { d } { d x } ( 3 ( x ^ { 3 } - 6 ) ^ { 2 } ( x ^ { 2 } + 4 x - 6 ) ^ { 10 } )$$

Evaluate

$$6\left(x^{3}-6\right)\left(10\left(x+2\right)\left(x^{3}-6\right)+3x^{2}\left(x^{2}+4x-6\right)\right)\left(x^{2}+4x-6\right)^{9}$$

Differentiate w.r.t. x

$$6\left(180\left(\left(x+2\right)\left(x^{3}-6\right)\right)^{2}+120\left(x+2\right)x^{2}\left(x^{2}+4x-6\right)\left(x^{3}-6\right)+6x\left(x^{3}-6\right)\left(x^{2}+4x-6\right)^{2}+10\left(x^{2}+4x-6\right)\left(x^{3}-6\right)^{2}+9x^{4}\left(x^{2}+4x-6\right)^{2}\right)\left(x^{2}+4x-6\right)^{8}$$