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1/3*x^3-4*x

Derivative of 1/3*x^3-4*x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3      
x       
-- - 4*x
3       
$$\frac{x^{3}}{3} - 4 x$$
x^3/3 - 4*x
Detail solution
  1. Differentiate term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
      2
-4 + x 
$$x^{2} - 4$$
The second derivative [src]
2*x
$$2 x$$
The third derivative [src]
2
$$2$$
The graph
Derivative of 1/3*x^3-4*x