Mister Exam

Other calculators


y=3x^3-3

Derivative of y=3x^3-3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   3    
3*x  - 3
$$3 x^{3} - 3$$
d /   3    \
--\3*x  - 3/
dx          
$$\frac{d}{d x} \left(3 x^{3} - 3\right)$$
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 the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
   2
9*x 
$$9 x^{2}$$
The second derivative [src]
18*x
$$18 x$$
The third derivative [src]
18
$$18$$
The graph
Derivative of y=3x^3-3