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Derivative of x^4-6x^2+5x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4      2      
x  - 6*x  + 5*x
$$5 x + \left(x^{4} - 6 x^{2}\right)$$
x^4 - 6*x^2 + 5*x
Detail solution
  1. Differentiate term by term:

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      2. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      The result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
              3
5 - 12*x + 4*x 
$$4 x^{3} - 12 x + 5$$
The second derivative [src]
   /      2\
12*\-1 + x /
$$12 \left(x^{2} - 1\right)$$
The third derivative [src]
24*x
$$24 x$$