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Derivative of:
Derivative of x^2+cos(x)
Derivative of (x+1)^2*(x-5)-6
Derivative of log(11*x)
Derivative of e^x-2
Identical expressions
(five *x^ five - two *x)/ six
(5 multiply by x to the power of 5 minus 2 multiply by x) divide by 6
(five multiply by x to the power of five minus two multiply by x) divide by six
(5*x5-2*x)/6
5*x5-2*x/6
(5*x⁵-2*x)/6
(5x^5-2x)/6
(5x5-2x)/6
5x5-2x/6
5x^5-2x/6
(5*x^5-2*x) divide by 6
Similar expressions
(5*x^5+2*x)/6

The derivative of the function/ (5*x^5-2*x)/6

Derivative of (5x^5-2x)/6

The solution

You have entered [src]

   5      
5*x  - 2*x
----------
    6

$$\frac{5 x^{5} - 2 x}{6}$$

  /   5      \
d |5*x  - 2*x|
--|----------|
dx\    6     /

$$\frac{d}{d x} \frac{5 x^{5} - 2 x}{6}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $5 x^{5} - 2 x$ 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: $x^{5}$ goes to $5 x^{4}$
    So, the result is: $25 x^{4}$
  2. 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. Apply the power rule: $x$ goes to $1$
      So, the result is: $2$
    So, the result is: $-2$
  The result is: $25 x^{4} - 2$
So, the result is: $\frac{25 x^{4}}{6} - \frac{1}{3}$

The answer is:

$\frac{25 x^{4}}{6} - \frac{1}{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          4
  1   25*x 
- - + -----
  3     6

$$\frac{25 x^{4}}{6} - \frac{1}{3}$$

Simplify

The second derivative [src]

    3
50*x 
-----
  3

$$\frac{50 x^{3}}{3}$$

Simplify

The third derivative [src]

    2
50*x

$$50 x^{2}$$

Simplify

The graph

Derivative of (5*x^5-2*x)/6