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y=ln(x)-2x
The derivative of the function/ y=ln(x)-2x

Derivative of y=ln(x)-2x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(x) - 2*x
$$- 2 x + \log{\left(x \right)}$$ 
log(x) - 2*x
Detail solution

  1. Differentiate term by term:

    1. The derivative of is .

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

The answer is:

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
The third derivative [src] 
2 
--
 3
x
$$\frac{2}{x^{3}}$$
Simplify
The graph
Derivative of y=ln(x)-2x
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