Question

differentiate y=cos(a^3+x^3)​

Answer 1

Answer:

y'= -sin(a^3+x^3) 3x^2 where a is constant

Answer 2

Answer:

- 3 x² sin ( a³ + x³ )

Step-by-step explanation:

Given :

y = cos ( a³ + x³ )

Now diff. w.r.t. x

d y / d x = d ( cos ( a³ + x³ ) / d x

Applying chain rule here :

d y / d x = - sin ( a³ + x³ ) ( a³ + x³ )'

d y / d x = - sin ( a³ + x³ ) ( 3 x² )

d y / d x = - 3 x² sin ( a³ + x³ )

Therefore , final answer is  - 3 x² sin ( a³ + x³ ) .