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x^2-6x+9
The derivative of the function/ x^2-6x+9

Derivative of x^2-6x+9

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

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The solution

You have entered [src] 
 2          
x  - 6*x + 9
(x2−6x)+9\left(x^{2} - 6 x\right) + 9 
x^2 - 6*x + 9
Detail solution

  1. Differentiate (x2−6x)+9\left(x^{2} - 6 x\right) + 9 term by term:

    1. Differentiate x2−6xx^{2} - 6 x term by term:

      1. Apply the power rule: x2x^{2} goes to 2x2 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: −6-6

      The result is: 2x−62 x - 6

    2. The derivative of the constant 99 is zero.

    The result is: 2x−62 x - 6

The answer is:

2x−62 x - 6

The graph
02468-8-6-4-2-1010-200200
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-6 + 2*x
2x−62 x - 6
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of x^2-6x+9
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