We appreciate your visit to Derive f x 25x 2 25x 3 25x 4. 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 :
The function f(x) =[tex]25x^2 + 25x^3 + 25x^4[/tex] can be derived by applying the power rule of differentiation to each term individually and then summing the derivatives.
To find the derivative of the given function f(x) = [tex]25x^2 + 25x^3 + 25x^4[/tex], we can apply the power rule of differentiation. According to the power rule, the derivative of x^n, where n is a constant, is given by n*x^(n-1).
Taking the derivative of each term individually, we have:
[tex]d/dx (25x^2) = 2*25*x^(2-1) = 50x\\d/dx (25x^3) = 3*25*x^(3-1) = 75x^2\\d/dx (25x^4) = 4*25*x^(4-1) = 100x^3\\[/tex]
Now, we can sum up the derivatives of each term to find the derivative of the entire function:f'(x) = d/dx
[tex](25x^2) + d/dx (25x^3) + d/dx (25x^4)\\ = 50x + 75x^2 + 100x^3[/tex]
Thus, the derivative of f(x) = [tex]25x^2 + 25x^3 + 25x^4 is f'(x) = 50x + 75x^2 + 100x^3.[/tex]
Learn more about function here:
https://brainly.com/question/30721594
#SPJ11
Thanks for taking the time to read Derive f x 25x 2 25x 3 25x 4. 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
