why Calculus is important tell newton laws also
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His focus on gravity and laws of motion are linked to his breakthrough in calculus. Newton started by trying to describe the speed of a falling object. ... He found that by using calculus, he could explain how planets moved and why the orbits of planets are in an ellipse.
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Isaac Newton changed the world when he invented Calculus in 1665. We take this for granted today, but what Newton accomplished at the age of 24 is simply astonishing.
Calculus has uses in physics, chemistry, biology, economics, pure mathematics, all branches of engineering, and more. Its not an overstatement to say Newton's insight in the development of calculus has truly revolutionized our ability to pursue new branches of science and engineering. It is used in problems when a quantity changes as a function of time, which is how most problems behave in reality.
When he invented calculus and outlined its uses, Isaac Newton made one of the most important breakthroughs in mathematics history, and it's still vital to this day.
What Is Calculus?
At its most basic, calculus is all about studying the rate of change of a quantity over time. In particular, it can be narrowed down to the study of the rate of change and summation of quantities. The two categories of calculus are called differential calculus and integral calculus. Differential calculus deals with the rate of change of a quantity such as how the position of an object changes compared to time. Integral calculus is all about accumulation, or summing up infinitely small quantities. The fundamental theorem of calculus is what connects these two categories. This theorem guarantees the existence of antiderivatives for continuous functions. You can learn more about the differential and integral calculus by reading the information below. We'll then look into how this affects curves.
When looking into differential calculus and trying to understand it, it's important to compare it to algebra. Algebra is all about working out the slope of a straight line between two points. But with calculus, it's all about the slope of a curve, which means the slope at one point will be different than the slope at another point further along the same curved function. By looking closely at the slope of the line between the two points on the curve, the rate at which the slope changes can be calculated. This is called finding the derivative of a function at a point.