Derivative of y=ulog10(x)

You have entered [src]

   log(x)
u*-------
  log(10)

$$u \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}$$

u*(log(x)/log(10))

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
  So, the result is: $\frac{1}{x \log{\left(10 \right)}}$
So, the result is: $\frac{u}{x \log{\left(10 \right)}}$

The answer is:

$\frac{u}{x \log{\left(10 \right)}}$

The first derivative [src]

    u    
---------
x*log(10)

$$\frac{u}{x \log{\left(10 \right)}}$$

Simplify

The second derivative [src]

   -u     
----------
 2        
x *log(10)

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

Simplify

The third derivative [src]

   2*u    
----------
 3        
x *log(10)

$$\frac{2 u}{x^{3} \log{\left(10 \right)}}$$

Simplify