Mathematics, 25.01.2020 13:31 MichealM7668

Suppose f is an antiderivative of f and a is an area function of f. what is the relationship between f and a? what is the relationship between f and a?

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Answer from: kaya1523

The relationship between f and A is $\boxed{A\left( x \right) = \int {f\left( x \right)dx} }$ and the relationship between F and A is $\boxed{F\left( x \right) = A\left( x \right) + C}.$

Further explanation:

Given:

F is an anti-derivative of fand A is an area function of f.

Explanation:

The relationship between f and A can be obtained as follows,

$A\left( x \right) = \int {f\left( x \right)dx}$

If F is an anti-anti-derivative of the function f and A is the area function of f, then the relationship between A and F can be obtained as follows,

$F\left( x \right) = A\left( x \right) + C$

Here, $A\left( x \right)$ the area in terms of x and C is the constant.

The relationship between f and A is $\boxed{A\left( x \right) = \int {f\left( x \right)dx} }$ and the relationship between F and A is $\boxed{F\left( x \right) = A\left( x \right) + C}.$

Learn more:

Learn more about inverse of the functionhttps://. Learn more about equation of circle . Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Derivatives

Keywords: Derivative, function, differentiate, minimum value, F, anti-derivative, f, area, A, function, relationship, relation, integral, differentiation.

Answer from: Quest

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Answer from: Quest

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