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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

The graph:

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Piecewise:

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: 22

    The result is: 2+1x2 + \frac{1}{x}

The answer is:

2+1x2 + \frac{1}{x}

The graph
02468-8-6-4-2-1010-5050
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    1
2 + -
    x
2+1x2 + \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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