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Find the derivatives of the function y = 2x $^2$ (2x - 1)...

Find the derivatives of the function y = 2x $^2$ (2x - 1) at the point x = -1?

A.

18

B.

16

C.

-4

D.

-6

View answer & explanation

Correct answer is B

y = 2x $^2$ (2x - 1)

expand the bracket

y = 4x $^3$ - 2x $^2$

dy/dx = 12x $^2$ - 4x
at x = -1
dy/dx = 12(-1) $^2$ - 4(-1)
= 12 + 4
= 16

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