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4y^3
The derivative of the function/ 4y^3

Derivative of 4y^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   3
4*y
$$4 y^{3}$$ 
4*y^3
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: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    2
12*y
$$12 y^{2}$$
Simplify
The second derivative [src] 
24*y
$$24 y$$
Simplify
The third derivative [src] 
24
$$24$$
Simplify
The graph
Derivative of 4y^3
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