If y = (1 - 2x) $^3$ , find the value of dy/dx at x = -1

-6

-54

Correct answer is D

y = (1 - 2x) $^3$
let u = 1-2x
du/dx = -2
∴y = u $^3$
dy/du = 3u $^2$
But dy/dx = du/dx * dy/du
= -2 * 3u $^2$
= -6u $^2$
= -6(1-2x) $^2$
At x = -1: dy/dx = -6(1 - 2(-1)) $^2$
dy/dx = -6(1 + 2) $^2$
= -6 * 3 $^2$
= -6 * 9
= -54

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If y = (1 - 2x) $^3$ , find the value of dy/dx at x = -1