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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
$$7 x^{5}$$ 
d /   5\
--\7*x /
dx
$$\frac{d}{d x} 7 x^{5}$$
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: 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] 
    4
35*x
$$35 x^{4}$$
Simplify
The second derivative [src] 
     3
140*x
$$140 x^{3}$$
Simplify
The third derivative [src] 
     2
420*x
$$420 x^{2}$$
Simplify
The graph
Derivative of 7x⁵
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