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3x^2-4x+1
The derivative of the function/ 3x^2-4x+1

Derivative of 3x^2-4x+1

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
   2          
3*x  - 4*x + 1
3x2−4x+13 x^{2} - 4 x + 1 
d /   2          \
--\3*x  - 4*x + 1/
dx
ddx(3x2−4x+1)\frac{d}{d x} \left(3 x^{2} - 4 x + 1\right)
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Detail solution

  1. Differentiate 3x2−4x+13 x^{2} - 4 x + 1 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. 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: 44

      So, the result is: −4-4

    3. The derivative of the constant 11 is zero.

    The result is: 6x−46 x - 4

The answer is:

6x−46 x - 4

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-4 + 6*x
6x−46 x - 4
Simplify
The second derivative [src] 
6
66
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of 3x^2-4x+1
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