Elementary calculus is usually divided into two branches, differential calculus and integral calculus. Differential calculus is the branch of calculus that is based on the determination of the limit of a certain ratio whereas integral calculus is based on the determination of the limit of a certain sum. Differential calculus is the portion of calculus that deals with derivatives. The derivative of a function is representative of an infinitesimal change in the function with respect to its parameters. The derivative of a function f with respect to x is denoted either as f'(x) or df/dx. Leibniz developed this notation in 1684. All applications of differential calculus are concerned with interpretations of the derivative as the slope of the line tangent to the curve at a specific point or as the rate of change of the dependent variable with respect to the independent variable. Employing differential...