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Derivative of:
Derivative of -e^x
Derivative of 1/2*sqrt(x)
Derivative of x-7
Derivative of x^5-5*x^3-20*x
Factor polynomial:
x^2-4*x-5
Identical expressions
x^ two - four *x- five
x squared minus 4 multiply by x minus 5
x to the power of two minus four multiply by x minus five
x2-4*x-5
x²-4*x-5
x to the power of 2-4*x-5
x^2-4x-5
x2-4x-5
Similar expressions
x^2+4*x-5
x^2-4*x+5

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

Derivative of x^2-4*x-5

The solution

You have entered [src]

 2          
x  - 4*x - 5

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

x^2 - 4*x - 5

Detail solution

Differentiate $\left(x^{2} - 4 x\right) - 5$ 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 $-5$ 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^2-4*x-5