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Derivative of:
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Identical expressions
three *log(x)- two *x
3 multiply by logarithm of (x) minus 2 multiply by x
three multiply by logarithm of (x) minus two multiply by x
3log(x)-2x
3logx-2x
Similar expressions
3*log(x)+2*x

The derivative of the function/ 3*log(x)-2*x

Derivative of 3log(x)-2x

The solution

You have entered [src]

3*log(x) - 2*x

$$- 2 x + 3 \log{\left(x \right)}$$

3*log(x) - 2*x

Detail solution

Differentiate $- 2 x + 3 \log{\left(x \right)}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
  So, the result is: $\frac{3}{x}$
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: $-2 + \frac{3}{x}$

The answer is:

$-2 + \frac{3}{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     3
-2 + -
     x

$$-2 + \frac{3}{x}$$

Simplify

The second derivative [src]

-3 
---
  2
 x

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

Simplify

The third derivative [src]

6 
--
 3
x

$$\frac{6}{x^{3}}$$

Simplify

The graph

Derivative of 3*log(x)-2*x