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The derivative of the function/ 5e^x-2*ln(x)

Derivative of 5e^x-2*ln(x)

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
   x           
5*E  - 2*log(x)
5ex−2log⁡(x)5 e^{x} - 2 \log{\left(x \right)} 
5*E^x - 2*log(x)
Detail solution

  1. Differentiate 5ex−2log⁡(x)5 e^{x} - 2 \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 exe^{x} is itself.

      So, the result is: 5ex5 e^{x}

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

      1. The derivative of log⁡(x)\log{\left(x \right)} is 1x\frac{1}{x}.

      So, the result is: −2x- \frac{2}{x}

    The result is: 5ex−2x5 e^{x} - \frac{2}{x}

The answer is:

5ex−2x5 e^{x} - \frac{2}{x}

The graph
02468-8-6-4-2-1010200000-100000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  2      x
- - + 5*e 
  x
5ex−2x5 e^{x} - \frac{2}{x}
Simplify
The second derivative [src] 
2       x
-- + 5*e 
 2       
x
5ex+2x25 e^{x} + \frac{2}{x^{2}}
Simplify
The third derivative [src] 
  4       x
- -- + 5*e 
   3       
  x
5ex−4x35 e^{x} - \frac{4}{x^{3}}
Simplify
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