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The derivative of the function/ x^2-10x

Derivative of x^2-10x

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

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The solution

You have entered [src] 
 2       
x  - 10*x
x2−10xx^{2} - 10 x 
x^2 - 10*x
Detail solution

  1. Differentiate x2−10xx^{2} - 10 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: −10-10

    The result is: 2x−102 x - 10

The answer is:

2x−102 x - 10

The graph
02468-8-6-4-2-1010-250250
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-10 + 2*x
2x−102 x - 10
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
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