Mister Exam

Derivative of y=x³-6x²+4x+5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3      2          
x  - 6*x  + 4*x + 5
$$\left(4 x + \left(x^{3} - 6 x^{2}\right)\right) + 5$$
x^3 - 6*x^2 + 4*x + 5
Detail solution
  1. Differentiate term by term:

    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:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
              2
4 - 12*x + 3*x 
$$3 x^{2} - 12 x + 4$$
The second derivative [src]
6*(-2 + x)
$$6 \left(x - 2\right)$$
The third derivative [src]
6
$$6$$
The graph
Derivative of y=x³-6x²+4x+5