[tex]f(x) = {x}^{3} (4 {x}^{2} - 5x - 6) \\ f(x) = 4 {x}^{5} - 5 {x}^{4} - 6 {x}^{3} \\ f'(x) = 4(5) {x}^{5 - 1} - 5(4) {x}^{4 - 1} - 6(3) {x}^{3 - 1} \\ f'(x) = 20 {x}^{4} - 20 {x}^{3} - 18x[/tex]
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[tex]f(x) = {x}^{3} (4 {x}^{2} - 5x - 6) \\ f(x) = 4 {x}^{5} - 5 {x}^{4} - 6 {x}^{3} \\ f'(x) = 4(5) {x}^{5 - 1} - 5(4) {x}^{4 - 1} - 6(3) {x}^{3 - 1} \\ f'(x) = 20 {x}^{4} - 20 {x}^{3} - 18x[/tex]