Mister Exam

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The derivative of the function/ e^1/x-4

Derivative of e^1/x-4

The solution

You have entered [src]

 1    
E     
-- - 4
x

$$-4 + \frac{e^{1}}{x}$$

E^1/x - 4

Detail solution

Differentiate $-4 + \frac{e^{1}}{x}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
  So, the result is: $- \frac{e}{x^{2}}$
2. The derivative of the constant $-4$ is zero.
The result is: $- \frac{e}{x^{2}}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-E 
---
  2
 x

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

Simplify

The second derivative [src]

2*E
---
  3
 x

$$\frac{2 e}{x^{3}}$$

Simplify

The third derivative [src]

-6*E
----
  4 
 x

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

Simplify