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Derivative of:
Derivative of cos(5-3*x)
Derivative of cos^3(t)
Derivative of asin(y^2)
Derivative of (5x^2+2)×(x^2-4)^3
Graphing y =:
x^2+8x+16
Integral of d{x}:
x^2+8x+16
Identical expressions
x^ two +8x+ sixteen
x squared plus 8x plus 16
x to the power of two plus 8x plus sixteen
x2+8x+16
x²+8x+16
x to the power of 2+8x+16
Similar expressions
x^2-8x+16
x^2+8x-16

The derivative of the function/ x^2+8x+16

Derivative of x^2+8x+16

The solution

You have entered [src]

 2           
x  + 8*x + 16

$$\left(x^{2} + 8 x\right) + 16$$

x^2 + 8*x + 16

Detail solution

Differentiate $\left(x^{2} + 8 x\right) + 16$ term by term:
1. Differentiate $x^{2} + 8 x$ 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: $8$
  The result is: $2 x + 8$
2. The derivative of the constant $16$ is zero.
The result is: $2 x + 8$

The answer is:

$2 x + 8$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

8 + 2*x

$$2 x + 8$$

Simplify

The second derivative [src]

$$2$$

Simplify

3-я производная [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify