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Derivative of:
Derivative of y=2x+1
Derivative of asin(t)
Derivative of 7/x^4
Derivative of x*sin(4*x)
Integral of d{x}:
7/x^4
Limit of the function:
7/x^4
Identical expressions
seven /x^ four
7 divide by x to the power of 4
seven divide by x to the power of four
7/x4
7/x⁴
7 divide by x^4

The derivative of the function/ 7/x^4

Derivative of 7/x^4

The solution

You have entered [src]

7 
--
 4
x

$$\frac{7}{x^{4}}$$

7/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: $- \frac{28}{x^{5}}$

The answer is:

$- \frac{28}{x^{5}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-28 
----
  5 
 x

$$- \frac{28}{x^{5}}$$

Simplify

The second derivative [src]

140
---
  6
 x

$$\frac{140}{x^{6}}$$

Simplify

The third derivative [src]

-840 
-----
   7 
  x

$$- \frac{840}{x^{7}}$$

Simplify

The graph

Derivative of 7/x^4