Mister Exam

Other calculators

Derivative of x^3-3x-7

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3          
x  - 3*x - 7
$$\left(x^{3} - 3 x\right) - 7$$
x^3 - 3*x - 7
Detail solution
  1. Differentiate term by term:

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      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:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
        2
-3 + 3*x 
$$3 x^{2} - 3$$
The second derivative [src]
6*x
$$6 x$$
The third derivative [src]
6
$$6$$