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3x⁴
The derivative of the function/ 3x⁴

Derivative of 3x⁴

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4
3*x
3x43 x^{4} 
d /   4\
--\3*x /
dx
ddx3x4\frac{d}{d x} 3 x^{4}
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: x4x^{4} goes to 4x34 x^{3}

    So, the result is: 12x312 x^{3}

The answer is:

12x312 x^{3}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
12*x
12x312 x^{3}
Simplify
The second derivative [src] 
    2
36*x
36x236 x^{2}
Simplify
The third derivative [src] 
72*x
72x72 x
Simplify
The graph
Derivative of 3x⁴
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