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Derivative of:
Derivative of e^x^2
Derivative of tanh(x)
Derivative of cos²x
Derivative of (π-2x)³
Identical expressions
5e^x- two *ln(x)
5e to the power of x minus 2 multiply by ln(x)
5e to the power of x minus two multiply by ln(x)
5ex-2*ln(x)
5ex-2*lnx
5e^x-2ln(x)
5ex-2ln(x)
5ex-2lnx
5e^x-2lnx
Similar expressions
5e^x+2*ln(x)

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

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

The solution

You have entered [src]

   x           
5*E  - 2*log(x)

$$5 e^{x} - 2 \log{\left(x \right)}$$

5*E^x - 2*log(x)

Detail solution

Differentiate $5 e^{x} - 2 \log{\left(x \right)}$ 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 $e^{x}$ is itself.
  So, the result is: $5 e^{x}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
  So, the result is: $- \frac{2}{x}$
The result is: $5 e^{x} - \frac{2}{x}$

The answer is:

$5 e^{x} - \frac{2}{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  2      x
- - + 5*e 
  x

$$5 e^{x} - \frac{2}{x}$$

Simplify

The second derivative [src]

2       x
-- + 5*e 
 2       
x

$$5 e^{x} + \frac{2}{x^{2}}$$

Simplify

The third derivative [src]

  4       x
- -- + 5*e 
   3       
  x

$$5 e^{x} - \frac{4}{x^{3}}$$

Simplify