A bug got into my graphing software and it is crawling around on a graph of y=x^4, in the first quandrant.  This special bug is following the curve in such a way that the x-coordinate is consistently changing at a rate of 2 mm/sec.  What is the rate of change of the y-coordinate, when y=256 mm?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.