The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, derivativility, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic derivative, indefinite integral, and definite integral well defined including rising to neutrosophic functions.