Question Number 70582 by Raphael last updated on 05/Oct/19

Given that y=(4/(√((x^3 +1)))) show that 2(x^3 +1)(dy/dx)=−3x^2 y.

Commented bykaivan.ahmadi last updated on 05/Oct/19

2(x^3 +1)×((−((4×3x^2 )/(2(√(x^3 +1)))))/(x^3 +1))=2×((−2×3x^2 )/(√(x^3 +1)))= −3x^2 ×(4/(√(x^3 +1)))=−3x^2 y