Mister Exam

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Derivative of x^3-1

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 3    
x  - 1

$$x^{3} - 1$$

x^3 - 1

Detail solution

Differentiate $x^{3} - 1$ term by term:
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
2. The derivative of the constant $-1$ is zero.
The result is: $3 x^{2}$

The answer is:

$3 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2
3*x

$$3 x^{2}$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph