Mister Exam

Other calculators


3-3*x^2

Derivative of 3-3*x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       2
3 - 3*x 
33x23 - 3 x^{2}
d /       2\
--\3 - 3*x /
dx          
ddx(33x2)\frac{d}{d x} \left(3 - 3 x^{2}\right)
Detail solution
  1. Differentiate 33x23 - 3 x^{2} term by term:

    1. The derivative of the constant 33 is zero.

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

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

        1. Apply the power rule: x2x^{2} goes to 2x2 x

        So, the result is: 6x6 x

      So, the result is: 6x- 6 x

    The result is: 6x- 6 x


The answer is:

6x- 6 x

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
-6*x
6x- 6 x
The second derivative [src]
-6
6-6
The third derivative [src]
0
00
3-я производная [src]
0
00
The graph
Derivative of 3-3*x^2