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Derivative of:
Derivative of 11*x-log(x+4)^11-3
Derivative of y=x^3-8x^2+10x-4
Derivative of x+ln(x^2-4)
Derivative of x/(9-x^2)
Identical expressions
two ,667x^ three -1log10(x)
2,667x cubed minus 1 logarithm of 10(x)
two ,667x to the power of three minus 1 logarithm of 10(x)
2,667x3-1log10(x)
2,667x3-1log10x
2,667x³-1log10(x)
2,667x to the power of 3-1log10(x)
2,667x^3-1log10x
Similar expressions
2,667x^3+1log10(x)

The derivative of the function/ 2,667x^3-1log10(x)

Derivative of 2,667x^3-1log10(x)

The solution

You have entered [src]

      3          
2667*x     log(x)
------- - -------
  1000    log(10)

$$\frac{2667 x^{3}}{1000} - \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}$$

2667*x^3/1000 - log(x)/log(10)

Detail solution

Differentiate $\frac{2667 x^{3}}{1000} - \frac{\log{\left(x \right)}}{\log{\left(10 \right)}}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $\frac{8001 x^{2}}{1000}$
2. 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: $- \frac{1}{x \log{\left(10 \right)}}$
The result is: $\frac{8001 x^{2}}{1000} - \frac{1}{x \log{\left(10 \right)}}$

The answer is:

$\frac{8001 x^{2}}{1000} - \frac{1}{x \log{\left(10 \right)}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

      2            
8001*x        1    
------- - ---------
  1000    x*log(10)

$$\frac{8001 x^{2}}{1000} - \frac{1}{x \log{\left(10 \right)}}$$

Simplify

The second derivative [src]

8001*x       1     
------ + ----------
 500      2        
         x *log(10)

$$\frac{8001 x}{500} + \frac{1}{x^{2} \log{\left(10 \right)}}$$

Simplify

The third derivative [src]

8001       2     
---- - ----------
500     3        
       x *log(10)

$$\frac{8001}{500} - \frac{2}{x^{3} \log{\left(10 \right)}}$$

Simplify