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Derivative of:
Derivative of f(x)=1
Derivative of (x+8)^2
Derivative of x^5-2*x
Derivative of x^3-3
Factor polynomial:
x^5+2*x
Identical expressions
x^ five + two *x
x to the power of 5 plus 2 multiply by x
x to the power of five plus two multiply by x
x5+2*x
x⁵+2*x
x^5+2x
x5+2x
Similar expressions
x^5-2*x
y=x^5+2x^3-sinx

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

Derivative of x^5+2*x

The solution

You have entered [src]

 5      
x  + 2*x

$$x^{5} + 2 x$$

x^5 + 2*x

Detail solution

Differentiate $x^{5} + 2 x$ term by term:
1. Apply the power rule: $x^{5}$ goes to $5 x^{4}$
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: $5 x^{4} + 2$

The answer is:

$5 x^{4} + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       4
2 + 5*x

$$5 x^{4} + 2$$

Simplify

The second derivative [src]

    3
20*x

$$20 x^{3}$$

Simplify

The third derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify

The graph

Derivative of x^5+2*x