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Derivative of:
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Derivative of x^2/(x^2+1)
Derivative of x*sqrt(3-x)
Graphing y =:
x^2+2*x
Factor polynomial:
x^2+2*x
Limit of the function:
x^2+2*x
Identical expressions
x^ two + two *x
x squared plus 2 multiply by x
x to the power of two plus two multiply by x
x2+2*x
x²+2*x
x to the power of 2+2*x
x^2+2x
x2+2x
Similar expressions
y=-x^3-6x^2+2x+1
x/sqrt(x^2+2*x)
x^2-2*x
y=ctg5x^2+2x-7

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

Derivative of x^2+2*x

The solution

You have entered [src]

 2      
x  + 2*x

$$x^{2} + 2 x$$

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

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

Transform

Detail solution

Differentiate $x^{2} + 2 x$ 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: $2$
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+2*x