Question

If y = 2x3 _ 4x and dx, dt equals 4, find dy, dt when x = 1. Give only the numerical answer.is wrong?

Answer 1

Dy/dt = dy/dx * dx/dt
dy/dx = 6x^2 - 4
when x = 1, dy/dx = 6 - 4 = 2

dy/dt = 2 * 4 = 8.

Answer 2

This problem uses the chain rule.

y = f(x), then dy/dt = f'(x) * dx/dt.y = 2x^3 - 4x
dy/dt = (2(3)x^2 - 4) * dx/dt = (6x^2 - 4) * dx/dt
Since dx/dt = 4 and x = 1,
dy/dt = (6(1)^2 - 4)(4) = 8.


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