Mister Exam

Derivative of 3x^2-2x

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

The graph:

from to

Piecewise:

The solution

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   2      
3*x  - 2*x
3x22x3 x^{2} - 2 x
3*x^2 - 2*x
Detail solution
  1. Differentiate 3x22x3 x^{2} - 2 x 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: x2x^{2} goes to 2x2 x

      So, the result is: 6x6 x

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

      1. Apply the power rule: xx goes to 11

      So, the result is: 2-2

    The result is: 6x26 x - 2


The answer is:

6x26 x - 2

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
-2 + 6*x
6x26 x - 2
The second derivative [src]
6
66
The third derivative [src]
0
00
The graph
Derivative of 3x^2-2x