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(3x^2-36x+36)
The derivative of the function/ (3x^2-36x+36)

Derivative of (3x^2-36x+36)

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You have entered [src] 
   2            
3*x  - 36*x + 36
3x2−36x+363 x^{2} - 36 x + 36 
d /   2            \
--\3*x  - 36*x + 36/
dx
ddx(3x2−36x+36)\frac{d}{d x} \left(3 x^{2} - 36 x + 36\right)
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Detail solution

  1. Differentiate 3x2−36x+363 x^{2} - 36 x + 36 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: 3636

      So, the result is: −36-36

    3. The derivative of the constant 3636 is zero.

    The result is: 6x−366 x - 36

The answer is:

6x−366 x - 36

The graph
02468-8-6-4-2-1010-10001000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-36 + 6*x
6x−366 x - 36
Simplify
The second derivative [src] 
6
66
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of (3x^2-36x+36)
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