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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.07%3A_Math_Review_of_Other_Topics/2.7.23%3A_Anti-derivativesTherefore, every antiderivative of cosx is of the form sinx+C for some constant C and every function of the form sinx+C is an antiderivative of cosx. Therefore, every antid...Therefore, every antiderivative of cosx is of the form sinx+C for some constant C and every function of the form sinx+C is an antiderivative of cosx. Therefore, every antiderivative of ex is of the form ex+C for some constant C and every function of the form ex+C is an antiderivative of ex.
- https://phys.libretexts.org/Under_Construction/Purgatory/4%3A_Models_of_Thermodynamics/4.7%3A_Looking_Back_and_AheadIt is because we always deal with systems in everyday experience that have 1020 or more particles, that we can make absolute statements like, “heat always flows from a hotter object to a cooler object...It is because we always deal with systems in everyday experience that have 1020 or more particles, that we can make absolute statements like, “heat always flows from a hotter object to a cooler object.” It is not that some fundamental law of physics would be violated (conservation of energy, for example) if we sometimes ran across an interaction in which energy was transferred from the cooler to the warmer system as heat.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.10%3A_Anti_derivatives_and_integrals/2.10.02%3A_AntiderivativesAt this point, we have seen how to calculate derivatives of many functions and have been introduced to a variety of their applications. We now ask a question that turns this process around: Given a fu...At this point, we have seen how to calculate derivatives of many functions and have been introduced to a variety of their applications. We now ask a question that turns this process around: Given a function f , how do we find a function with the derivative f and why would we be interested in such a function?
