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5x³
The derivative of the function/ 5x³

Derivative of 5x³

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   3
5*x
$$5 x^{3}$$ 
d /   3\
--\5*x /
dx
$$\frac{d}{d x} 5 x^{3}$$
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: 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
15*x
$$15 x^{2}$$
Simplify
The second derivative [src] 
30*x
$$30 x$$
Simplify
The third derivative [src] 
30
$$30$$
Simplify
The graph
Derivative of 5x³
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