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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
Graphing y =:
x^2+4x+5
Canonical form:
x^2+4x+5
Integral of d{x}:
x^2+4x+5
Identical expressions
x^ two +4x+ five
x squared plus 4x plus 5
x to the power of two plus 4x plus five
x2+4x+5
x²+4x+5
x to the power of 2+4x+5
Similar expressions
x^2+4x-5
x^2-4x+5

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

Derivative of x^2+4x+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+4x+5