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(x^2+3x-1)(2x-1)

Derivative of (x^2+3x-1)(2x-1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
/ 2          \          
\x  + 3*x - 1/*(2*x - 1)
$$\left(2 x - 1\right) \left(x^{2} + 3 x - 1\right)$$
d // 2          \          \
--\\x  + 3*x - 1/*(2*x - 1)/
dx                          
$$\frac{d}{d x} \left(2 x - 1\right) \left(x^{2} + 3 x - 1\right)$$
Detail solution
  1. Apply the product rule:

    ; to find :

    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:

      3. The derivative of the constant is zero.

      The result is:

    ; to find :

    1. Differentiate 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: goes to

        So, the result is:

      2. The derivative of the constant is zero.

      The result is:

    The result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
        2                            
-2 + 2*x  + 6*x + (3 + 2*x)*(2*x - 1)
$$2 x^{2} + 6 x + \left(2 x + 3\right) \left(2 x - 1\right) - 2$$
The second derivative [src]
2*(5 + 6*x)
$$2 \cdot \left(6 x + 5\right)$$
The third derivative [src]
12
$$12$$
The graph
Derivative of (x^2+3x-1)(2x-1)