Mister Exam

Derivative of (x^5+1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 5    
x  + 1
x5+1x^{5} + 1
x^5 + 1
Detail solution
  1. Differentiate x5+1x^{5} + 1 term by term:

    1. Apply the power rule: x5x^{5} goes to 5x45 x^{4}

    2. The derivative of the constant 11 is zero.

    The result is: 5x45 x^{4}


The answer is:

5x45 x^{4}

The graph
02468-8-6-4-2-1010-200000200000
The first derivative [src]
   4
5*x 
5x45 x^{4}
The second derivative [src]
    3
20*x 
20x320 x^{3}
The third derivative [src]
    2
60*x 
60x260 x^{2}
The graph
Derivative of (x^5+1)