leibniz uses the same basic concepts and rules as newton, no one knows who came up with them first,, chain rule, quotient rule,, but the only difference is that newton uses y prime(y') and leibniz uses the dy/dx ... personally i like newtons better, but when it comes to the quotient and chain rule leibniz is easier.
Gottfried Leibniz did...
Leibniz and Newton are credited with inventing calculus. They made their discoveries independently at about the same time. Leibniz invented the dx/dy notation used today . He also made other contributions to math.
the fact that it worked, and people liked it
It was made independently by Sir Isaac Newton (English) and Gottfried Wilhelm Leibniz (German).
calculus and the stepped reckoner
Gottfried Wilhelm Leibniz made significant contributions to mathematics, including the invention of calculus independently of Isaac Newton. He developed the concept of infinitesimal calculus and introduced notations such as d/dx for differentiation and ∫ for integration. Leibniz also formulated important ideas in discrete mathematics and made advancements in the field of binary arithmetic, which laid the foundation for modern computer science.
Amongst other things they independently invented calculus. Newton probably made the first discovery, but delayed publishing for many years. Leibniz also held off publishing for a long time, waiting, apparently for Newton to do it. Eventually Leibniz published anyway. They became bitter rivals.
Leibniz.
Calculus is a branch of mathematics, not something tangible that can be made in a factory or lab. The Calculus we know today is the result of many mathematicians efforts over the course of hundreds of years. the two most notable people to contribute to modern calculus are Sir Isaac Newton and Gottfried Leibniz.
Isaac Newton made significant contributions to mathematics, most notably in the development of calculus, which he formulated independently around the same time as Gottfried Wilhelm Leibniz. He introduced concepts such as limits, derivatives, and integrals, which are fundamental to the study of change and motion. Additionally, Newton's work in mathematical analysis laid the groundwork for subsequent advancements in physics and engineering. His methods for solving problems involving rates of change and areas under curves remain central to modern mathematics.
Isaac Newton made significant contributions to the fields of physics and mathematics. He formulated the laws of motion and universal gravitation, which laid the foundation for classical mechanics. Newton also developed calculus independently of Gottfried Wilhelm Leibniz, revolutionizing the mathematical framework used in science.
The stepped reckoner, designed by Gottfried Wilhelm Leibniz, was capable of performing multiplication and division in addition to addition and subtraction, which was beyond the capabilities of Pascal's machine. Leibniz's stepped reckoner utilized a stepped drum mechanism that allowed for more complex mathematical operations to be performed automatically. This advancement in functionality made the stepped reckoner a more versatile and powerful calculating machine compared to Pascal's simpler design.