Mister Exam

Derivative of x^4-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4    
x  - 1
x41x^{4} - 1
x^4 - 1
Detail solution
  1. Differentiate x41x^{4} - 1 term by term:

    1. Apply the power rule: x4x^{4} goes to 4x34 x^{3}

    2. The derivative of the constant 1-1 is zero.

    The result is: 4x34 x^{3}


The answer is:

4x34 x^{3}

The graph
02468-8-6-4-2-1010-2000020000
The first derivative [src]
   3
4*x 
4x34 x^{3}
The second derivative [src]
    2
12*x 
12x212 x^{2}
The third derivative [src]
24*x
24x24 x
The graph
Derivative of x^4-1