Mister Exam

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The derivative of the function/ x^3-3x

Derivative of x^3-3x

The solution

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 3      
x  - 3*x

$$x^{3} - 3 x$$

x^3 - 3*x

Detail solution

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

The answer is:

$3 x^{2} - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-3 + 3*x

$$3 x^{2} - 3$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-3x