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Derivative of:
Derivative of 4/x^3
Derivative of (x+3)^2*(x+5)-1
Derivative of x^3+2
Derivative of x^(-2)
Graphing y =:
x^2-6x+9
Integral of d{x}:
x^2-6x+9
Identical expressions
x^ two -6x+ nine
x squared minus 6x plus 9
x to the power of two minus 6x plus nine
x2-6x+9
x²-6x+9
x to the power of 2-6x+9
Similar expressions
x^2-6x-9
x^2+6x+9

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

Derivative of x^2-6x+9

The solution

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 2          
x  - 6*x + 9

$$\left(x^{2} - 6 x\right) + 9$$

x^2 - 6*x + 9

Detail solution

Differentiate $\left(x^{2} - 6 x\right) + 9$ term by term:
1. Differentiate $x^{2} - 6 x$ term by term:
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $-6$
  The result is: $2 x - 6$
2. The derivative of the constant $9$ is zero.
The result is: $2 x - 6$

The answer is:

$2 x - 6$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-6 + 2*x

$$2 x - 6$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-6x+9