The Texas Instruments TEXTI84PLUSSE Graphing Calculator is good for calculus too.
Newton was primarily a physicist. He invented calculus in order to understand and explain the laws of physics. He and Leibniz in Germany independently invented the calculus.
The simple answer is any phenomena that is changing in a non-linear manner.
There are lots of good introductory calculus books. Please note that to understand them, you need to have a good mastery of high school math, especially algebra.
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Anti-derivatives are a part of the integrals in the calculus field. According to the site Chegg, it is best described as the "inverse operation of differentiation."
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
A better question would be "do graphs have to do with calculus?" The answer is yes, many concepts in calculus are best understood by looking at graphs. While most concepts in calculus can be taught and learned without graphs, using only numeric and algebraic (analytical) representations, graphs add a visual representation that helps students understand calculus concepts in more depth.
Yes, of course
No. Chances are it will be the other way around: if you are bad at math, you stand a good chance of failing calculus or linear algebra. You will perform best at calculus and algebra if you have a strong math background.
Calculus is made up of Trig and Algebra. Most people you ask will say that the hardest part of calculus is the algebra. The best advice I can give is to know your unit circle and Pythagoreans Theorem well.
With the current math systems that newton had he had no way to really mathematically explain anything he was doing in physics so he pioneered calculus.