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3*x^6
The derivative of the function/ 3*x^6

Derivative of 3*x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   6
3*x
3x63 x^{6} 
3*x^6
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: 18x518 x^{5}

The answer is:

18x518 x^{5}

The graph
02468-8-6-4-2-1010-50000005000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    5
18*x
18x518 x^{5}
Simplify
The second derivative [src] 
    4
90*x
90x490 x^{4}
Simplify
The third derivative [src] 
     3
360*x
360x3360 x^{3}
Simplify
The graph
Derivative of 3*x^6
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