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y=lnx-2x
The derivative of the function/ y=lnx-2x

Derivative of y=lnx-2x

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

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The solution

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

  1. Differentiate −2x+log⁡(x)- 2 x + \log{\left(x \right)} term by term:

    1. The derivative of log⁡(x)\log{\left(x \right)} is 1x\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: xx goes to 11

      So, the result is: −2-2

    The result is: −2+1x-2 + \frac{1}{x}

The answer is:

−2+1x-2 + \frac{1}{x}

The graph
02468-8-6-4-2-1010-2525
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     1
-2 + -
     x
−2+1x-2 + \frac{1}{x}
Simplify
The second derivative [src] 
-1 
---
  2
 x
−1x2- \frac{1}{x^{2}}
Simplify
The third derivative [src] 
2 
--
 3
x
2x3\frac{2}{x^{3}}
Simplify
The graph
Derivative of y=lnx-2x
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