Question

y=(x²+1)(x+5+1/x) find dy/dx
​

Answer 1

3x²+ 10x +2 -1/x²

Step-by-step explanation:

dy/ dx

= (x+ 5+ 1/x) dy/dx ( x²+1) + (x² +1) dy/dx (x + 5 + 1/x)

= (x+ 5+ 1/x)(2x) + (x² +1 ) (1 - 1/x²)

= 2x²+ 10x + 2 + x² +1 -1 - 1/x²

= 3x²+ 10x +2 - 1/x²

May it helps you.