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Derivative of:
Derivative of x^(4/5)
Derivative of e^(-2*x)
Derivative of e^(-x)*cos(x)
Derivative of arctg(1/x)
Integral of d{x}:
2/x^4
Graphing y =:
2/x^4
Limit of the function:
2/x^4
Identical expressions
two /x^ four
2 divide by x to the power of 4
two divide by x to the power of four
2/x4
2/x⁴
2 divide by x^4

The derivative of the function/ 2/x^4

Derivative of 2/x^4

The solution

You have entered [src]

2 
--
 4
x

$$\frac{2}{x^{4}}$$

2/x^4

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = x^{4}$ .
2. Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{4}$ :
  1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$
  The result of the chain rule is:
  
  $- \frac{4}{x^{5}}$
So, the result is: $- \frac{8}{x^{5}}$

The answer is:

$- \frac{8}{x^{5}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8 
---
  5
 x

$$- \frac{8}{x^{5}}$$

Simplify

The second derivative [src]

40
--
 6
x

$$\frac{40}{x^{6}}$$

Simplify

The third derivative [src]

-240 
-----
   7 
  x

$$- \frac{240}{x^{7}}$$

Simplify

The graph

Derivative of 2/x^4