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QUESTION

Suppose y = f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere.

Suppose y = f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere. For what value of y is the rate of change of y4 with respect to x 256 times the rate of change of y with respect to x?

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