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Derivative of:
Derivative of sqrt(x-1)/(sqrt(x^2-x)-1)
Derivative of 5*x^4-7*x^2-x
Derivative of 3x-x^2
Derivative of 3*x^2+sin(x)
Graphing y =:
x^2+4*x-4
Factor squared:
x^2+4*x-4
Identical expressions
x^ two + four *x- four
x squared plus 4 multiply by x minus 4
x to the power of two plus four multiply by x minus four
x2+4*x-4
x²+4*x-4
x to the power of 2+4*x-4
x^2+4x-4
x2+4x-4
Similar expressions
x^2-4*x-4
x^2+4*x+4

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

Derivative of x^2+4*x-4

The solution

You have entered [src]

 2          
x  + 4*x - 4

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

x^2 + 4*x - 4

Detail solution

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