One of my top interests is Calculus and I wanted to further investigate it. Basically Calculus is a branch of mathematics that deals with the change of rate of a function, and I find much more interesting than any other branch. I am really interested in learning and further expanding my knowledge in this branch. Five things I didn’t know about calculus:
1. In 1820 BC calculus was used to find the volume of a pyramidal frustum by an Egyptian. That shows that calculus has been around for a long time, it’s just that nobody gave the name calculus to it. Then in 17th century, Sir Isaac Newton formally introduced calculus in his work while working on mathematical physics problems.
2. L’Hôpital’s rule, also called Bernoulli’s rule, was first believed to be found by French mathematician Guillaume de L’Hôpital, since he established it in his book but later on it was established that Swiss mathematician Johann Bernoulli was real discoverer of the rule.
3. First form of integration was used by breaking down the volume and area of a shape into infinitely small number of shapes of which volume or the area was defined. It was called Method of Exhaustion and was first used by Greeks.
4. The symbol of integration, ∫, elongated s, came from Latin word ‘summa’, which means sum of all and integration means the sum of all the area or volume underneath a curve.
5. So apparently the 100th derivative of sin⁡〖(〖2x)〗^2 〗+cos⁡〖〖(2x)〗^2 〗 with respect to x, when x = 1, is equal to zero. Since the first derivative of the function is 0 the rest of the derivatives would be zero too!

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