Derivative of y=ln10^x

You have entered [src]

   x    
log (10)

$$\log{\left(10 \right)}^{x}$$

log(10)^x

Detail solution

$\frac{d}{d x} \log{\left(10 \right)}^{x} = \log{\left(10 \right)}^{x} \log{\left(\log{\left(10 \right)} \right)}$

The answer is:

$\log{\left(10 \right)}^{x} \log{\left(\log{\left(10 \right)} \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   x                 
log (10)*log(log(10))

$$\log{\left(10 \right)}^{x} \log{\left(\log{\left(10 \right)} \right)}$$

Simplify

The second derivative [src]

   x        2         
log (10)*log (log(10))

$$\log{\left(10 \right)}^{x} \log{\left(\log{\left(10 \right)} \right)}^{2}$$

Simplify

The third derivative [src]

   x        3         
log (10)*log (log(10))

$$\log{\left(10 \right)}^{x} \log{\left(\log{\left(10 \right)} \right)}^{3}$$

Simplify

The graph