Let f (x) = (1-2x3) 10, then f ′ (1) equals () A. 0B. 60C. -1D. -60

Let f (x) = (1-2x3) 10, then f ′ (1) equals () A. 0B. 60C. -1D. -60

The derivative is f ′ (x) = (- 6x2) · 10 (1-2x3) 9 = (- 60x2) · (1-2x3) 9, and substituting x = 1 into the derivative function is f ′ (1) · (- 60) · (1-2) 9 = 60