Homework SourseFind the derivative of the function fw fw y811y56yy fw Solu
Find the derivative of the function f(w)
f(w)= (y^8-11y^5+6y)/(y)
f\'(w) = ???
f(w)= (y^8-11y^5+6y)/(y)
f\'(w) = ???
Solution
Use the quotient rule: If f(x)=g(x)/h(x) then the derivative of f(x) is: f\'(x)=[g\'(x)h(x)-g(x)h\'(x)]/[h(x)^2] In this case, g(x) = y^8 - 11y^5 + 6y and h(x)=y g\'(x)=8y^7 - 55y^4 + 6 h\'(x)=1 Plug these values into the quotient rule equation to get: [(8y^7 - 55y^4 + 6)(y)-(y^8 - 11y^5 + 6y)(1)] / (y^2) or [(8y^7 - 55y^4 + 6)(y)-(y^8 - 11y^5 + 6y)] / (y^2) You can simplify as necessary! Hope this helps! :) Let me know if you have any more questions!
