Question

If y=1/(x^4+1)^3, find dy/dx​

Answer 1

-12x³

(x⁴ +1)⁴

Explanation:

y=1/(x^4+1)^3

y= (x⁴+1)-³

dy = d(x⁴+1)-³ × d(x⁴+1)

dx d(x⁴+1) dx

=-3.(x⁴+1)-³-¹× 4x³

= -12x³(x⁴+1)-⁴

= -12x³

(x⁴+1)⁴

Note: dx^n =(n. x^n-1)dx

dx dx