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y=x^2-2x-3

Derivative of y=x^2-2x-3

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

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The solution

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 2          
x  - 2*x - 3
(x22x)3\left(x^{2} - 2 x\right) - 3
x^2 - 2*x - 3
Detail solution
  1. Differentiate (x22x)3\left(x^{2} - 2 x\right) - 3 term by term:

    1. Differentiate x22xx^{2} - 2 x term by term:

      1. Apply the power rule: x2x^{2} goes to 2x2 x

      2. 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: 2-2

      The result is: 2x22 x - 2

    2. The derivative of the constant 3-3 is zero.

    The result is: 2x22 x - 2


The answer is:

2x22 x - 2

The graph
02468-8-6-4-2-1010200-100
The first derivative [src]
-2 + 2*x
2x22 x - 2
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of y=x^2-2x-3