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2*x^3-4*x^2-5*x+3
The derivative of the function/ 2*x^3-4*x^2-5*x+3

Derivative of 2*x^3-4*x^2-5*x+3

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

The graph:

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The solution

You have entered [src] 
   3      2          
2*x  - 4*x  - 5*x + 3
$$2 x^{3} - 4 x^{2} - 5 x + 3$$ 
d /   3      2          \
--\2*x  - 4*x  - 5*x + 3/
dx
$$\frac{d}{d x} \left(2 x^{3} - 4 x^{2} - 5 x + 3\right)$$
Transform
Detail solution

  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 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: goes to

        So, the result is:

      So, the result is:

    3. 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: goes to

        So, the result is:

      So, the result is:

    4. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
              2
-5 - 8*x + 6*x
$$6 x^{2} - 8 x - 5$$
Simplify
The second derivative [src] 
4*(-2 + 3*x)
$$4 \cdot \left(3 x - 2\right)$$
Simplify
The third derivative [src] 
12
$$12$$
Simplify
The graph
Derivative of 2*x^3-4*x^2-5*x+3
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