High School

We appreciate your visit to Find the most general antiderivative of the function tex f x 4x 9 tex Use tex c tex for the constant of the antiderivative Check. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find the most general antiderivative of the function [tex]f(x) = 4x^9[/tex]. Use [tex]c[/tex] for the constant of the antiderivative.

Check your answer by differentiation.

Answer :

Final answer:

The most general antiderivative of the function f(x) = 4x⁹ is F(x) = (1/10)x¹⁰ + c, which can be checked by differentiating it.

Explanation:

The most general antiderivative of the function f(x) = 4x⁹ is F(x) = (1/10)x¹⁰ + c, where c is the constant of the antiderivative.

To check this answer, we can differentiate F(x) using the power rule of differentiation. The derivative of F(x) is f(x) = 4x⁹, which confirms that F(x) is indeed the antiderivative of f(x).

Thanks for taking the time to read Find the most general antiderivative of the function tex f x 4x 9 tex Use tex c tex for the constant of the antiderivative Check. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada