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3x^7
The derivative of the function/ 3x^7

Derivative of 3x^7

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   7
3*x
$$3 x^{7}$$ 
d /   7\
--\3*x /
dx
$$\frac{d}{d x} 3 x^{7}$$
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] 
    6
21*x
$$21 x^{6}$$
Simplify
The second derivative [src] 
     5
126*x
$$126 x^{5}$$
Simplify
The third derivative [src] 
     4
630*x
$$630 x^{4}$$
Simplify
7-th derivative [src] 
15120
$$15120$$
Simplify
The graph
Derivative of 3x^7
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