Question

How to differentiate x⁴ over 4 ? ​

Answer 1

Answer:

x^3.

Step-by-step 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

Answer:

x³

Step-by-step explanation:

Differentiate using the power rule

$\frac{d}{dx}$ (a$x^{n}$ ) = na$x^{n-1}$

Given

$\frac{1}{4}$ $x^{4}$, then

$\frac{d}{dx}$ ( $\frac{1}{4}$ $x^{4}$ )

= 4 × $\frac{1}{4}$ $x^{4-1}$ = x³