Mister Exam

Derivative of y=x³-4x²+5x-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3      2          
x  - 4*x  + 5*x - 1
$$\left(5 x + \left(x^{3} - 4 x^{2}\right)\right) - 1$$
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
5 - 8*x + 3*x 
$$3 x^{2} - 8 x + 5$$
The second derivative [src]
2*(-4 + 3*x)
$$2 \left(3 x - 4\right)$$
The third derivative [src]
6
$$6$$
The graph
Derivative of y=x³-4x²+5x-1