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

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

Derivative of x^2-4x+3

The solution

You have entered [src]

 2          
x  - 4*x + 3

$$\left(x^{2} - 4 x\right) + 3$$

x^2 - 4*x + 3

Detail solution

Differentiate $\left(x^{2} - 4 x\right) + 3$ term by term:
1. Differentiate $x^{2} - 4 x$ 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: $-4$
  The result is: $2 x - 4$
2. The derivative of the constant $3$ is zero.
The result is: $2 x - 4$

The answer is:

$2 x - 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-4 + 2*x

$$2 x - 4$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-4x+3