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7x⁵
The derivative of the function/ 7x⁵

Derivative of 7x⁵

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   5
7*x
7x57 x^{5} 
d /   5\
--\7*x /
dx
ddx7x5\frac{d}{d x} 7 x^{5}
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: x5x^{5} goes to 5x45 x^{4}

    So, the result is: 35x435 x^{4}

The answer is:

35x435 x^{4}

The graph
02468-8-6-4-2-1010-10000001000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    4
35*x
35x435 x^{4}
Simplify
The second derivative [src] 
     3
140*x
140x3140 x^{3}
Simplify
The third derivative [src] 
     2
420*x
420x2420 x^{2}
Simplify
The graph
Derivative of 7x⁵
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