Mister Exam

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The derivative of the function/ x^3-4x

Derivative of x^3-4x

The solution

You have entered [src]

 3      
x  - 4*x

$$x^{3} - 4 x$$

x^3 - 4*x

Detail solution

Differentiate $x^{3} - 4 x$ 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: $-4$
The result is: $3 x^{2} - 4$

The answer is:

$3 x^{2} - 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-4 + 3*x

$$3 x^{2} - 4$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-4x