What are Limits and Derivatives?
The limit is the fundamental process of calculus. Limit is defined as the value of the function approaches towards some value as the input approaches towards some other value.
The Greek mathematician Euclid (300 BC) and Archimedes (287-212 BC) were familiar with concept of derivative in terms of the tangent line. Indian mathematician Aryabhata (476-55 AD) used the rate of change to define the motion of moon. Bhaskara II (1114-1185) also contributed in the development of computation of rate of change by using infinitesimals. The notation of derivative was introduced by Leibniz. Issac Newton also contributed a lot in the development of calculus. He frequently used the concepts of calculus in his physics work.
Limit and continuity is truly the starting point of the advanced mathematics. Lot of mathematical calculations can be easily done by the use of the different concept of calculus. Learn how to find the limits and derivatives of the different functions such as algebraic, trigonometric, implicit, explicit, log, parametric, exponential functions etc. and their properties.