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x^101
The derivative of the function/ x^101

Derivative of x^101

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 101
x
x101x^{101} 
d / 101\
--\x   /
dx
ddxx101\frac{d}{d x} x^{101}
Transform
Detail solution

  1. Apply the power rule: x101x^{101} goes to 101x100101 x^{100}

The answer is:

101x100101 x^{100}

The graph
02468-8-6-4-2-10102e102-1e102
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     100
101*x
101x100101 x^{100}
Simplify
The second derivative [src] 
       99
10100*x
10100x9910100 x^{99}
Simplify
The third derivative [src] 
        98
999900*x
999900x98999900 x^{98}
Simplify
The graph
Derivative of x^101
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