Answer:
D. 57
Step-by-step explanation
[tex]f(x)=5x^3 - 3x - 7 \\ \\ f'(x) = 5 \times 3 {x}^{2} - 3 \times 1 - 0 \\ \\ f'(x) = 15 {x}^{2} - 3 \\ \\ plug \: x = - 2 \\ f'( - 2) = 15 {( - 2)}^{2} - 3 \\ \\ f'( - 2) = 15 \times 4 - 3 \\ \\f'( - 2) = 60 - 3 \\ \\f'( - 2) = 57 \\ \\[/tex]
