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Derivative of:
Derivative of cos(x/3)
Derivative of √x
Derivative of xcos(x)
Derivative of ln1
Graphing y =:
log(x)-2*x
Identical expressions
log(x)- two *x
logarithm of (x) minus 2 multiply by x
logarithm of (x) minus two multiply by x
log(x)-2x
logx-2x
Similar expressions
log(x)+2*x

The derivative of the function/ log(x)-2*x

Derivative of log(x)-2*x

The solution

You have entered [src]

log(x) - 2*x

$$- 2 x + \log{\left(x \right)}$$

log(x) - 2*x

Detail solution

Differentiate $- 2 x + \log{\left(x \right)}$ term by term:
1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $-2$
The result is: $-2 + \frac{1}{x}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     1
-2 + -
     x

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

Simplify

The second derivative [src]

-1 
---
  2
 x

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

Simplify

3-я производная [src]

2 
--
 3
x

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

Simplify

The third derivative [src]

2 
--
 3
x

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

Simplify