Homework SourseUse the quotient rule to find the derivative of the followin
Use the quotient rule to find the derivative of the following, y=5x^2+6/x^2+4
Solution
Y = (5x^2 + 6)/(x^2 + 4)
As we know that d(u/v) = [(v*u’ – u*v’)/v^2]
So Here Y’ = [(x^2 + 4)*10x – (5x^2 + 6)*2x]/(x^2 + 4)^2
Y’ = (10x^3 + 40x – 10x^3 – 12x)/(x^4 + 8x^2 + 16)
Y’ = 28x/(x^4 + 8x^2 + 16)
![Use the quotient rule to find the derivative of the following, y=5x^2+6/x^2+4SolutionY = (5x^2 + 6)/(x^2 + 4) As we know that d(u/v) = [(v*u’ – u*v’)/v^2] So He](/WebImages/7/use-the-quotient-rule-to-find-the-derivative-of-the-followin-989840-1761508867-0.webp "Use the quotient rule to find the derivative of the following, y=5x^2+6/x^2+4SolutionY = (5x^2 + 6)/(x^2 + 4) As we know that d(u/v) = [(v*u’ – u*v’)/v^2] So He")
