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5x^6
The derivative of the function/ 5x^6

Derivative of 5x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   6
5*x
5x65 x^{6} 
d /   6\
--\5*x /
dx
ddx5x6\frac{d}{d x} 5 x^{6}
Transform
Detail solution

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

    1. Apply the power rule: x6x^{6} goes to 6x56 x^{5}

    So, the result is: 30x530 x^{5}

The answer is:

30x530 x^{5}

The graph
02468-8-6-4-2-1010-1000000010000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    5
30*x
30x530 x^{5}
Simplify
The second derivative [src] 
     4
150*x
150x4150 x^{4}
Simplify
The third derivative [src] 
     3
600*x
600x3600 x^{3}
Simplify
The graph
Derivative of 5x^6
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