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The derivative of the function/ 12*lnx-5^x

Derivative of 12*lnx-5^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
             x
12*log(x) - 5
$$- 5^{x} + 12 \log{\left(x \right)}$$ 
12*log(x) - 5^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:

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

      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] 
12    x       
-- - 5 *log(5)
x
$$- 5^{x} \log{\left(5 \right)} + \frac{12}{x}$$
Simplify
The second derivative [src] 
 /12    x    2   \
-|-- + 5 *log (5)|
 | 2             |
 \x              /
$$- (5^{x} \log{\left(5 \right)}^{2} + \frac{12}{x^{2}})$$
Simplify
The third derivative [src] 
24    x    3   
-- - 5 *log (5)
 3             
x
$$- 5^{x} \log{\left(5 \right)}^{3} + \frac{24}{x^{3}}$$
Simplify
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