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7x^6
The derivative of the function/ 7x^6

Derivative of 7x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   6
7*x
7x67 x^{6} 
d /   6\
--\7*x /
dx
ddx7x6\frac{d}{d x} 7 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: x6x^{6} goes to 6x56 x^{5}

    So, the result is: 42x542 x^{5}

The answer is:

42x542 x^{5}

The graph
02468-8-6-4-2-1010-1000000010000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    5
42*x
42x542 x^{5}
Simplify
The second derivative [src] 
     4
210*x
210x4210 x^{4}
Simplify
The third derivative [src] 
     3
840*x
840x3840 x^{3}
Simplify
The graph
Derivative of 7x^6
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