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2/x^7
The derivative of the function/ 2/x^7

Derivative of 2/x^7

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

The graph:

from to

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The solution

You have entered [src] 
2 
--
 7
x
2x7\frac{2}{x^{7}} 
2/x^7
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let u=x7u = x^{7}.

    2. Apply the power rule: 1u\frac{1}{u} goes to −1u2- \frac{1}{u^{2}}

    3. Then, apply the chain rule. Multiply by ddxx7\frac{d}{d x} x^{7}:

      1. Apply the power rule: x7x^{7} goes to 7x67 x^{6}

      The result of the chain rule is:

      −7x8- \frac{7}{x^{8}}

    So, the result is: −14x8- \frac{14}{x^{8}}

The answer is:

−14x8- \frac{14}{x^{8}}

The graph
02468-8-6-4-2-1010-20000000001000000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-14 
----
  8 
 x
−14x8- \frac{14}{x^{8}}
Simplify
The second derivative [src] 
112
---
  9
 x
112x9\frac{112}{x^{9}}
Simplify
The third derivative [src] 
-1008 
------
  10  
 x
−1008x10- \frac{1008}{x^{10}}
Simplify
The graph
Derivative of 2/x^7
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