Question

How do you differentiate `f(x)=root4(1+2x+x^3)`?

Answer 1

`(2+3x^2)/(4(1+2x+3x^2)^{3/4})`

Explanation:

`f(x)=root4(1+2x+x^3) implies`

`(df)/dx = 1/4 (1+2x+x^3)^{1/4-1}times d/dx (1+2x+x^3)`
`qquad = (2+3x^2)/(4(1+2x+3x^2)^{3/4})`