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eg. If y = x^5 (^5 means to the power of 5).
Then y' = 5x^4 (i.e. differentiating once)
Then y'' = 20x^3 (differentiating twice)
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What does the word ''Calculus'' mean in Math?
In basic terms, Calculus is Differentiation and Integration And all things associated with that.
When is differentation used in calculus?
Differentiation is used to find the velocity of an object at a particular point.
What is the function of an antiderivative in calculus?
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."
What is mathematical analysis?
Analysis can be thought of as a continuation of calculus. It deals with topics such as measure, limits, and integration/differentiation, and spaces (such as metric spaces).
Importance of anti-differentiation in integral calculus?
If F(x) is a function, and F ‘(x) = f(x), then F(x) is the antiderivative (or indefinite integral) of f(x) It is the cornerstone of integral calculus and is used for areas, volumes, lengths and so much more!
