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x^3-9*x
The derivative of the function/ x^3-9*x

Derivative of x^3-9*x

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

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The solution

You have entered [src] 
 3      
x  - 9*x
x3−9xx^{3} - 9 x 
d / 3      \
--\x  - 9*x/
dx
ddx(x3−9x)\frac{d}{d x} \left(x^{3} - 9 x\right)
Transform
Detail solution

  1. Differentiate x3−9xx^{3} - 9 x term by term:

    1. Apply the power rule: x3x^{3} goes to 3x23 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: 99

      So, the result is: −9-9

    The result is: 3x2−93 x^{2} - 9

The answer is:

3x2−93 x^{2} - 9

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        2
-9 + 3*x
3x2−93 x^{2} - 9
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3-9*x
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