Derivative of y=(lnx-3)

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log(x) - 3

$$\log{\left(x \right)} - 3$$

log(x) - 3

Detail solution

Differentiate $\log{\left(x \right)} - 3$ term by term:
1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
2. The derivative of the constant $-3$ is zero.
The result is: $\frac{1}{x}$

The answer is:

$\frac{1}{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1
-
x

$$\frac{1}{x}$$

Simplify

The second derivative [src]

-1 
---
  2
 x

$$- \frac{1}{x^{2}}$$

Simplify

The third derivative [src]

2 
--
 3
x

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

Simplify

The graph