Derivative of -2x^-8

You have entered [src]

-2 
---
  8
 x

$$- \frac{2}{x^{8}}$$

-2/x^8

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x^{8}}$ goes to $- \frac{8}{x^{9}}$
So, the result is: $\frac{16}{x^{9}}$

The answer is:

$\frac{16}{x^{9}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

16
--
 9
x

$$\frac{16}{x^{9}}$$

Simplify

The second derivative [src]

-144 
-----
  10 
 x

$$- \frac{144}{x^{10}}$$

Simplify

The third derivative [src]

1440
----
 11 
x

$$\frac{1440}{x^{11}}$$

Simplify