It is use to fail the engineering students in final exam....
best use of it to make the student,s life hell....
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what are the applications of partial derivative in real analysis.
Derivatives can be used for numerous applications from determining the volume of different shapes to analyzing anything from water and heat flow. Yet the applications vary greatly between the engineering disciplines and the answer would be quite different for chemical engineers than for applied physics engineers. Derivatives can be used for numerous applications from determining the volume of different shapes to analyzing anything from water and heat flow. Yet the applications vary greatly between the engineering disciplines and the answer would be quite different for chemical engineers than for applied physics engineers.
Partial differential equations are great in calculus for making multi-variable equations simpler to solve. Some problems do not have known derivatives or at least in certain levels in your studies, you don't possess the tools needed to find the derivative. So, using partial differential equations, you can break the problem up, and find the partial derivatives and integrals.
The partial derivative of z=f(x,y) have a simple geometrical representation. Suppose the graph of z = f (x y) is the surface shown. Consider the partial derivative of f with respect to x at a point. Holding y constant and varying x, we trace out a curve that is the intersection of the surface with the vertical plane. The partial derivative measures the change in z per unit increase in x along this curve. Thus, it is just the slope of the curve at a value of x. The geometrical interpretation of is analogous in both types of derivatives, i.e., Ordinary and Partial Derivatives
well derivatives cannt be used without limits so it is application for calculus