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50/x
The derivative of the function/ 50/x

Derivative of 50/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
50
--
x
50x\frac{50}{x} 
50/x
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: 1x\frac{1}{x} goes to −1x2- \frac{1}{x^{2}}

    So, the result is: −50x2- \frac{50}{x^{2}}

The answer is:

−50x2- \frac{50}{x^{2}}

The graph
02468-8-6-4-2-1010-100005000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-50 
----
  2 
 x
−50x2- \frac{50}{x^{2}}
Simplify
The second derivative [src] 
100
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  3
 x
100x3\frac{100}{x^{3}}
Simplify
The third derivative [src] 
-300 
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   4 
  x
−300x4- \frac{300}{x^{4}}
Simplify
The graph
Derivative of 50/x
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