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8^x
The derivative of the function/ 8^x

Derivative of 8^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x
8
8x8^{x} 
8^x
Detail solution

  1. ddx8x=8xlog⁡(8)\frac{d}{d x} 8^{x} = 8^{x} \log{\left(8 \right)}

  2. Now simplify:

    log⁡(88x)\log{\left(8^{8^{x}} \right)}

The answer is:

log⁡(88x)\log{\left(8^{8^{x}} \right)}

The graph
02468-8-6-4-2-101002500000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 x       
8 *log(8)
8xlog⁡(8)8^{x} \log{\left(8 \right)}
Simplify
The second derivative [src] 
 x    2   
8 *log (8)
8xlog⁡(8)28^{x} \log{\left(8 \right)}^{2}
Simplify
The third derivative [src] 
 x    3   
8 *log (8)
8xlog⁡(8)38^{x} \log{\left(8 \right)}^{3}
Simplify
The graph
Derivative of 8^x
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