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Derivative of:
Derivative of x^1
Derivative of 2*sqrt(x)
Derivative of x^10
Derivative of (x^2-1)^2
Integral of d{x}:
x^2-2x+1
Canonical form:
x^2-2x+1
Graphing y =:
x^2-2x+1
Identical expressions
x^ two -2x+ one
x squared minus 2x plus 1
x to the power of two minus 2x plus one
x2-2x+1
x²-2x+1
x to the power of 2-2x+1
Similar expressions
x^2-2x-1
x^2+2x+1
x^2-2*x+1
y=e^((3*x^2-2x+1))
x^4+3*x^2-2*x+1

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

Derivative of x^2-2x+1

The solution

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 2          
x  - 2*x + 1

$$x^{2} - 2 x + 1$$

d / 2          \
--\x  - 2*x + 1/
dx

$$\frac{d}{d x} \left(x^{2} - 2 x + 1\right)$$

Transform

Detail solution

Differentiate $x^{2} - 2 x + 1$ 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. 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: $2$
  So, the result is: $-2$
3. The derivative of the constant $1$ is zero.
The result is: $2 x - 2$

The answer is:

$2 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 + 2*x

$$2 x - 2$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-2x+1