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What does the word "anti-derivative" mean, in calculus?
I need some help. What does the word anti-derivative mean, in regards to calculus? Thanks in advance!
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M$1 Answer
Antiderivative is the opposite of derivative. The process of finding an antiderivative is called integration.
Suppose you have a function p(x).
derivative of p(x) is given by:
d/dx p(x) = p'(x)
antiderivative of p'(x) is given by:
∫ p'(x) dx = P(x) + C
= p(x)
Note the presence of the constant C.
Suppose you have a function p(x).
derivative of p(x) is given by:
d/dx p(x) = p'(x)
antiderivative of p'(x) is given by:
∫ p'(x) dx = P(x) + C
= p(x)
Note the presence of the constant C.
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