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2x^3-9x^2-60x+1
The derivative of the function/ 2x^3-9x^2-60x+1

Derivative of 2x^3-9x^2-60x+1

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  - 9*x  - 60*x + 1
$$2 x^{3} - 9 x^{2} - 60 x + 1$$ 
d /   3      2           \
--\2*x  - 9*x  - 60*x + 1/
dx
$$\frac{d}{d x} \left(2 x^{3} - 9 x^{2} - 60 x + 1\right)$$
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
-60 - 18*x + 6*x
$$6 x^{2} - 18 x - 60$$
Simplify
The second derivative [src] 
6*(-3 + 2*x)
$$6 \cdot \left(2 x - 3\right)$$
Simplify
The third derivative [src] 
12
$$12$$
Simplify
The graph
Derivative of 2x^3-9x^2-60x+1
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