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The derivative of the function/ 2*lnx+3^x

Derivative of 2*lnx+3^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
            x
2*log(x) + 3
$$3^{x} + 2 \log{\left(x \right)}$$ 
2*log(x) + 3^x
Detail solution

  1. Differentiate 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 is .

      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] 
2    x       
- + 3 *log(3)
x
$$3^{x} \log{\left(3 \right)} + \frac{2}{x}$$
Simplify
The second derivative [src] 
  2     x    2   
- -- + 3 *log (3)
   2             
  x
$$3^{x} \log{\left(3 \right)}^{2} - \frac{2}{x^{2}}$$
Simplify
The third derivative [src] 
4     x    3   
-- + 3 *log (3)
 3             
x
$$3^{x} \log{\left(3 \right)}^{3} + \frac{4}{x^{3}}$$
Simplify
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