Mister Exam

Other calculators

x^3+1
The derivative of the function/ x^3+1

Derivative of x^3+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3    
x  + 1
x3+1x^{3} + 1 
d / 3    \
--\x  + 1/
dx
ddx(x3+1)\frac{d}{d x} \left(x^{3} + 1\right)
Transform
Detail solution

  1. Differentiate x3+1x^{3} + 1 term by term:

    1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

    2. The derivative of the constant 11 is zero.

    The result is: 3x23 x^{2}

The answer is:

3x23 x^{2}

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2
3*x
3x23 x^{2}
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3+1
    © Mister Exam – Calculator