Newton developed foundational concepts in calculus, focusing on limits and real-world applications, but his notation differed significantly from what is used today. Most modern calculus notation, including symbols for derivatives and integrals, was introduced by Leibniz, who favored a more abstract approach. While Newton contributed to the understanding of derivatives and integrals, he did not formalize them in the same way as Leibniz. The credit for the invention of calculus is often shared between the two due to their distinct methodologies and contexts. Ultimately, Newton's contributions laid essential groundwork, even if his notation was not adopted in contemporary calculus.