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5^x
The derivative of the function/ 5^x

Derivative of 5^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x
5
5x5^{x} 
5^x
Detail solution

  1. ddx5x=5xlog⁡(5)\frac{d}{d x} 5^{x} = 5^{x} \log{\left(5 \right)}

The answer is:

5xlog⁡(5)5^{x} \log{\left(5 \right)}

The graph
02468-8-6-4-2-1010020000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 x       
5 *log(5)
5xlog⁡(5)5^{x} \log{\left(5 \right)}
Simplify
The second derivative [src] 
 x    2   
5 *log (5)
5xlog⁡(5)25^{x} \log{\left(5 \right)}^{2}
Simplify
The third derivative [src] 
 x    3   
5 *log (5)
5xlog⁡(5)35^{x} \log{\left(5 \right)}^{3}
Simplify
The graph
Derivative of 5^x
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