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y(x)=2x³-3x
The derivative of the function/ y(x)=2x³-3x

Derivative of y(x)=2x³-3x

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

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The solution

You have entered [src] 
   3      
2*x  - 3*x
2x3−3x2 x^{3} - 3 x 
d /   3      \
--\2*x  - 3*x/
dx
ddx(2x3−3x)\frac{d}{d x} \left(2 x^{3} - 3 x\right)
Transform
Detail solution

  1. Differentiate 2x3−3x2 x^{3} - 3 x 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: x3x^{3} goes to 3x23 x^{2}

      So, the result is: 6x26 x^{2}

    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: xx goes to 11

        So, the result is: 33

      So, the result is: −3-3

    The result is: 6x2−36 x^{2} - 3

The answer is:

6x2−36 x^{2} - 3

The graph
02468-8-6-4-2-1010-50005000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        2
-3 + 6*x
6x2−36 x^{2} - 3
Simplify
The second derivative [src] 
12*x
12x12 x
Simplify
The third derivative [src] 
12
1212
Simplify
The graph
Derivative of y(x)=2x³-3x
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