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10x^3
The derivative of the function/ 10x^3

Derivative of 10x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    3
10*x
10x310 x^{3} 
d /    3\
--\10*x /
dx
ddx10x3\frac{d}{d x} 10 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: x3x^{3} goes to 3x23 x^{2}

    So, the result is: 30x230 x^{2}

The answer is:

30x230 x^{2}

The graph
02468-8-6-4-2-1010-2000020000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    2
30*x
30x230 x^{2}
Simplify
The second derivative [src] 
60*x
60x60 x
Simplify
The third derivative [src] 
60
6060
Simplify
The graph
Derivative of 10x^3
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