Mister Exam

Other calculators

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

Derivative of x^3+3x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3      
x  + 3*x
$$x^{3} + 3 x$$ 
d / 3      \
--\x  + 3*x/
dx
$$\frac{d}{d x} \left(x^{3} + 3 x\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       2
3 + 3*x
$$3 x^{2} + 3$$
Simplify
The second derivative [src] 
6*x
$$6 x$$
Simplify
The third derivative [src] 
6
$$6$$
Simplify
The graph
Derivative of x^3+3x
    © Mister Exam – Calculator