Rolando T. Dy has written:
'Philippine agribusiness initiative'
'The Philippine horticulture industry'
'Issues and options for a national land use policy'
Nelson T. Dy has written two books: "Intelligent Buildings: New Directions in Building Automation" and "Power Integrity for Microprocessor and DRAM Memory." He is known in the field of electrical engineering for his expertise in power integrity, electrostatic discharge, and electromagnetic interference.
The question is to PROVE that dy/dx = (dy/dt)/(dx/dt). This follows from the chain rule (without getting into any heavy formalism). We know x and y are functions of t. Given an appropriate curve (we can integrate piece-wise if necessary), y can be written as a function of x where x is a function of t, i.e., y = y(x(t)). By the chain rule, we have dy/dt = dy/dx * dx/dt. For points where the derivative of x with respect to t does not vanish, we therefore have (dy/dt)/(dx/dt) = dy/dx.
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