Derivative of 5x^(-6)

You have entered [src]

5 
--
 6
x

$$\frac{5}{x^{6}}$$

5/x^6

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x^{6}}$ goes to $- \frac{6}{x^{7}}$
So, the result is: $- \frac{30}{x^{7}}$

The answer is:

$- \frac{30}{x^{7}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-30 
----
  7 
 x

$$- \frac{30}{x^{7}}$$

Simplify

The second derivative [src]

210
---
  8
 x

$$\frac{210}{x^{8}}$$

Simplify

The third derivative [src]

-1680 
------
   9  
  x

$$- \frac{1680}{x^{9}}$$

Simplify