Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of tan(x/2)
Derivative of (x^2)
Derivative of sin(x)/2
Derivative of lnx
Identical expressions
- two /x^ four
minus 2 divide by x to the power of 4
minus two divide by x to the power of four
-2/x4
-2/x⁴
-2 divide by x^4
Similar expressions
2/x^4
What you mean?
-2/x^4
-2*4/x
-2/x^4
-2*4/x
-2/x^4
-2/x^4

The derivative of the function/ -2/x^4

You entered:

-2/x^4

What you mean?

-2/x^4

-2*4/x

-2/x^4

-2*4/x

-2/x^4

-2/x^4

Derivative of -2/x^4

The solution

You have entered [src]

-2 
---
  4
 x

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

d /-2 \
--|---|
dx|  4|
  \ x /

$$\frac{d}{d x} \left(- \frac{2}{x^{4}}\right)$$

Transform

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