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Derivative of:
Derivative of x*2^x
Derivative of 2*sqrt(x)-4*log(2+sqrt(x))
Derivative of y=2x^3
Derivative of y/2
Factor polynomial:
x^3+5*x
Limit of the function:
x^3+5*x
Identical expressions
x^ three + five *x
x cubed plus 5 multiply by x
x to the power of three plus five multiply by x
x3+5*x
x³+5*x
x to the power of 3+5*x
x^3+5x
x3+5x
Similar expressions
y=ln(x-x^3)+5x
x^3-5*x
y=ln*(x-x^3)+5x

The derivative of the function/ x^3+5*x

Derivative of x^3+5*x

The solution

You have entered [src]

 3      
x  + 5*x

x^{3} + 5 x

x^3 + 5*x

Detail solution

Differentiate $x^{3} + 5 x$ term by term:
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
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: $5$
The result is: $3 x^{2} + 5$

The answer is:

3 x^{2} + 5

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
5 + 3*x

3 x^{2} + 5

Simplify

The second derivative [src]

6*x

6 x

Simplify

The third derivative [src]

6

Simplify

The graph

Derivative of x^3+5*x