If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Give only the numerical answer. For example, if dy/dt=3, type only 3.

Question

Mathematics

Adelyn Waller

12 November, 10:13

If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Give only the numerical answer. For example, if dy/dt=3, type only 3.

+3

Answers (1)

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Angeline Parks · Answer 1

dy/dt = 8

Step-by-step explanation:

y = 2x^3 - 4x

dy/dt = 2 * 3x^2 dx/dt - 4 dx/dt

dy/dt = 6x^2 dx/dt - 4 dx/dt

substitute dx/dt = 4 and x=1

dy/dt = 6 * (1) ^2 * 4 - 4 (4)

dy/dt = 24-16

dy/dt = 8