# How does calculus relate to computer science?

I may not be the best person to respond to questions of this nature, but a lot of computer science algorithms are probably derived from calculus techniques. Newton's Method, for instance, is a useful tool for approximating square roots.

I hope this was of some use.

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Calculus is a branch of mathematics that deals with continuous change and motion. It is widely used in computer science for various applications, including algorithms, data analysis, machine learning, computer graphics, and simulations. Calculus helps in understanding and optimizing the behavior of algorithms, analyzing data patterns, and designing efficient algorithms. It is also used in computer graphics to model and render complex shapes and animations. Additionally, calculus plays a crucial role in optimization problems, which are prevalent in computer science, such as finding the shortest path or maximizing efficiency. Overall, calculus provides the mathematical foundation for many important concepts and techniques in computer science.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Given #f(x) = cosh(x+a/cosh(x+a/cosh( cdots)))# and #g(x)# its inverse, what is the minimum distance between then for #a > 0#?
- Find #h'(2)#? (see image below)
- What is the derivative of #sinh(x)#?
- What is the integral of #sqrt(x)#?
- The FCF (Functional Continued Fraction) #cosh_(cf) (x;a) = cosh(x+a/cosh(x+a/cosh(x+...)))#. How do you prove that #cosh_(cf) (0;1) = 1.3071725#, nearly and the derivative #(cosh_(cf) (x;1))'=0.56398085#, at x = 0?

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