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y=2x⁶
The derivative of the function/ y=2x⁶

Derivative of y=2x⁶

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

The graph:

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Piecewise:

The solution

You have entered [src] 
   6
2*x
2x62 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: 12x512 x^{5}

The answer is:

12x512 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
12*x
12x512 x^{5}
Simplify
The second derivative [src] 
    4
60*x
60x460 x^{4}
Simplify
The third derivative [src] 
     3
240*x
240x3240 x^{3}
Simplify
The graph
Derivative of y=2x⁶
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