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Derivative of:
Derivative of (3*e^x+x)*cos(x)
Derivative of (-6)/x^4
Derivative of ln(x+5)^9
Derivative of 4*cos(x)-tan(x)
Identical expressions
(- six)/x^ four
( minus 6) divide by x to the power of 4
( minus six) divide by x to the power of four
(-6)/x4
-6/x4
(-6)/x⁴
-6/x^4
(-6) divide by x^4
Similar expressions
(6)/x^4

The derivative of the function/ (-6)/x^4

Derivative of (-6)/x^4

The solution

You have entered [src]

-6 
---
  4
 x

- \frac{6}{x^{4}}

-6/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: $\frac{24}{x^{5}}$

The answer is:

\frac{24}{x^{5}}

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

24
--
 5
x

\frac{24}{x^{5}}

Simplify

The second derivative [src]

-120 
-----
   6 
  x

- \frac{120}{x^{6}}

Simplify

The third derivative [src]

720
---
  7
 x

\frac{720}{x^{7}}

Simplify

The graph

Derivative of (-6)/x^4