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2x^3-3
The derivative of the function/ 2x^3-3

Derivative of 2x^3-3

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

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The solution

You have entered [src] 
   3    
2*x  - 3
2x3−32 x^{3} - 3 
d /   3    \
--\2*x  - 3/
dx
ddx(2x3−3)\frac{d}{d x} \left(2 x^{3} - 3\right)
Transform
Detail solution

  1. Differentiate 2x3−32 x^{3} - 3 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 the constant (−1)3\left(-1\right) 3 is zero.

    The result is: 6x26 x^{2}

The answer is:

6x26 x^{2}

The graph
02468-8-6-4-2-1010-50005000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2
6*x
6x26 x^{2}
Simplify
The second derivative [src] 
12*x
12x12 x
Simplify
The third derivative [src] 
12
1212
Simplify
The graph
Derivative of 2x^3-3
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