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3*x^2-12

Derivative of 3*x^2-12

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

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The solution

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   2     
3*x  - 12
3x2123 x^{2} - 12
3*x^2 - 12
Detail solution
  1. Differentiate 3x2123 x^{2} - 12 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 the constant 12-12 is zero.

    The result is: 6x6 x


The answer is:

6x6 x

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
6*x
6x6 x
The second derivative [src]
6
66
The third derivative [src]
0
00
The graph
Derivative of 3*x^2-12