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4^x
The derivative of the function/ 4^x

Derivative of 4^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x
4
4x4^{x} 
4^x
Detail solution

  1. ddx4x=4xlog⁡(4)\frac{d}{d x} 4^{x} = 4^{x} \log{\left(4 \right)}

  2. Now simplify:

    log⁡(44x)\log{\left(4^{4^{x}} \right)}

The answer is:

log⁡(44x)\log{\left(4^{4^{x}} \right)}

The graph
02468-8-6-4-2-101002000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 x       
4 *log(4)
4xlog⁡(4)4^{x} \log{\left(4 \right)}
Simplify
The second derivative [src] 
 x    2   
4 *log (4)
4xlog⁡(4)24^{x} \log{\left(4 \right)}^{2}
Simplify
The third derivative [src] 
 x    3   
4 *log (4)
4xlog⁡(4)34^{x} \log{\left(4 \right)}^{3}
Simplify
The graph
Derivative of 4^x
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