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

The derivative of the function/ x^2-5x+4

Derivative of x^2-5x+4

The solution

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 2          
x  - 5*x + 4

$$x^{2} - 5 x + 4$$

d / 2          \
--\x  - 5*x + 4/
dx

$$\frac{d}{d x} \left(x^{2} - 5 x + 4\right)$$

Transform

Detail solution

Differentiate $x^{2} - 5 x + 4$ 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: $5$
  So, the result is: $-5$
3. The derivative of the constant $4$ is zero.
The result is: $2 x - 5$

The answer is:

$2 x - 5$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-5 + 2*x

$$2 x - 5$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-5x+4