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Derivative of:
Derivative of e^(-x^2)
Derivative of x^sin(x)
Derivative of e^x^3
Derivative of e^(x/2)
Integral of d{x}:
2/x^7
Graphing y =:
2/x^7
Identical expressions
two /x^ seven
2 divide by x to the power of 7
two divide by x to the power of seven
2/x7
2/x⁷
2 divide by x^7

The derivative of the function/ 2/x^7

Derivative of 2/x^7

The solution

You have entered [src]

2 
--
 7
x

$$\frac{2}{x^{7}}$$

2/x^7

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = x^{7}$ .
2. Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{7}$ :
  1. Apply the power rule: $x^{7}$ goes to $7 x^{6}$
  The result of the chain rule is:
  
  $- \frac{7}{x^{8}}$
So, the result is: $- \frac{14}{x^{8}}$

The answer is:

$- \frac{14}{x^{8}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-14 
----
  8 
 x

$$- \frac{14}{x^{8}}$$

Simplify

The second derivative [src]

112
---
  9
 x

$$\frac{112}{x^{9}}$$

Simplify

The third derivative [src]

-1008 
------
  10  
 x

$$- \frac{1008}{x^{10}}$$

Simplify

The graph

Derivative of 2/x^7