selahrae selahrae

Today at 2:27 AM
Advanced Placement (AP)

Answered

If y = 3x^3 - 2x and dx/dt equals 3 , find dy/dt when x = -2. Give only the numerical answer.

Answer :

Today at 2:32 AM

dx/dt=3
y=3x^3-2x
dy/dt=(9x^2)(dx/dt)-2(dx/dt)
When x= -2
dy/dt=(9(-2)^2)(3)-2(3)
=36(3)-6
=102

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