Derivative of y=(x^4)÷2

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 4
x 
--
2

$$\frac{x^{4}}{2}$$

x^4/2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$
So, the result is: $2 x^{3}$

The answer is:

$2 x^{3}$

The graph

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The first derivative [src]

   3
2*x

$$2 x^{3}$$

Simplify

The second derivative [src]

   2
6*x

$$6 x^{2}$$

Simplify

The third derivative [src]

12*x

$$12 x$$

Simplify

The graph