Question

How to differentiate x⁴ over 4 ? ​

Answer 1

x^3.

Explanation:

Algebraic differentiation:

If y = ax^n , dy/dx = an x^(n-1), so

y = x^4 / 4

= (1/4)x^4

dy/dx = (1/4 * 4) x(4-1)

= x^3.

Answer 2

x³

Explanation:

Differentiate using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)`

Given

`(1)/(4)`
`x^(4)`, then

`(d)/(dx)` (
`(1)/(4)`
`x^(4)` )

= 4 ×
`(1)/(4)`
`x^(4-1)` = x³