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5x^6
The derivative of the function/ 5x^6

Derivative of 5x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   6
5*x
$$5 x^{6}$$ 
d /   6\
--\5*x /
dx
$$\frac{d}{d x} 5 x^{6}$$
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: 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] 
    5
30*x
$$30 x^{5}$$
Simplify
The second derivative [src] 
     4
150*x
$$150 x^{4}$$
Simplify
The third derivative [src] 
     3
600*x
$$600 x^{3}$$
Simplify
The graph
Derivative of 5x^6
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