Suppose that y is a function defined by implicitly by the equation y cubed plus y equals x . What is fraction numerator d y over denominator d x end fraction ?
Before I answer your question, I want to make sure that you know what dy/dx means, because it’s strange for someone to call it “the fraction numerator d y over denominator d x end fraction.”
dy/dx is the derivative of y with respect to x, meaning it is the instantaneous slope of the graph y in the xy plane. Now that we have established that, we can continue.