We appreciate your visit to Given the function tex f x x 2 3 4x 9 11x tex find the derivative tex f x tex. 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!
Answer :
Final answer:
The derivative of the function f(x) = x^(2/3) - 4x^9 - 11x, denoted as f'(x), is found by applying the power rule and is f'(x) = (2/3)*x^(-1/3) - 36x^8 - 11.
Explanation:
The student is asking for the derivative of the function f(x) = x^(2/3) - 4x^9 - 11x. To find f'(x), we need to apply the power rule for derivatives, which says that the derivative of x^n with respect to x is n*x^(n-1). Applying the power rule to each term in the function:
• The derivative of x^(2/3) is (2/3)*x^(-1/3).
• The derivative of -4x^9 is -4*9*x^8 or -36x^8.
• The derivative of -11x is simply -11.
Combining these results, the final solution for f'(x) is: f'(x) = (2/3)*x^(-1/3) - 36x^8 - 11. Therefore, the derivative of the function f(x) = x^(2/3) - 4x^9 - 11x, denoted as f'(x), is found by applying the power rule and is f'(x) = (2/3)*x^(-1/3) - 36x^8 - 11.
Thanks for taking the time to read Given the function tex f x x 2 3 4x 9 11x tex find the derivative tex f x tex. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
