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6x^4-3x^3-2x+1
The derivative of the function/ 6x^4-3x^3-2x+1

Derivative of 6x^4-3x^3-2x+1

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

The graph:

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The solution

You have entered [src] 
   4      3          
6*x  - 3*x  - 2*x + 1
$$6 x^{4} - 3 x^{3} - 2 x + 1$$ 
d /   4      3          \
--\6*x  - 3*x  - 2*x + 1/
dx
$$\frac{d}{d x} \left(6 x^{4} - 3 x^{3} - 2 x + 1\right)$$
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       3
-2 - 9*x  + 24*x
$$24 x^{3} - 9 x^{2} - 2$$
Simplify
The second derivative [src] 
18*x*(-1 + 4*x)
$$18 x \left(4 x - 1\right)$$
Simplify
The third derivative [src] 
18*(-1 + 8*x)
$$18 \cdot \left(8 x - 1\right)$$
Simplify
The graph
Derivative of 6x^4-3x^3-2x+1
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