# Differential Calculus Solved Problems Often, it is described as measuring the slope of a line in equations.

Often, it is described as measuring the slope of a line in equations.

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For any professional trying to determine work, area, volume, gradient, or surface area, calculus will provide the answer.

In differential calculus, measuring the rate of change at any given point on a curve is called the derivative.

In real world applications, the steepness of a curve could be represented by things such as a hill or bridge.

Integral calculus takes the next step by working to solve questions such as “how much water would it take to fill a pool?

However, due to discrepancies on which man developed conclusions first, it has been deemed that the two worked independently of each other on the subject.

Other claims regarding the origins of this type of mathematics include the Greeks working on the main ideas that form the basis for calculus as far back as 450 BC.Below is a simple form of integral calculus: For a function of the form k * xn , the integral equals k * x(n 1) (n 1) These formulas, while simple and basic, provide rudimentary examples for introducing the wide and expansive mathematical world known as calculus.This article was written by a professional writer, copy edited and fact checked through a multi-point auditing system, in efforts to ensure our readers only receive the best information.Calculus consists of two main branches called differential and integral calculus.Differential calculus deals with derivatives and their applications.From designing a building to calculating loan payments, calculus surrounds us.Two 17th century men, Gottfried Wilhelm Liebniz and Sir Isaac Newton are often credited with working to develop calculus principles.Solving or evaluating functions in math can be done using direct and synthetic substitution.Students should have experience in evaluating functions which are: 1.The slope (m) is defined as the difference in Y divided by the difference in X.Here is the differential calculus equation: (Y2-Y1) Slope = m = (X2-X1) Integral calculus involves calculating areas.

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