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y=x^7-13x
The derivative of the function/ y=x^7-13x

Derivative of y=x^7-13x

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

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The solution

You have entered [src] 
 7       
x  - 13*x
x7−13xx^{7} - 13 x 
x^7 - 13*x
Detail solution

  1. Differentiate x7−13xx^{7} - 13 x term by term:

    1. Apply the power rule: x7x^{7} goes to 7x67 x^{6}

    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: −13-13

    The result is: 7x6−137 x^{6} - 13

The answer is:

7x6−137 x^{6} - 13

The graph
02468-8-6-4-2-1010-2000000020000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         6
-13 + 7*x
7x6−137 x^{6} - 13
Simplify
The second derivative [src] 
    5
42*x
42x542 x^{5}
Simplify
The third derivative [src] 
     4
210*x
210x4210 x^{4}
Simplify
The graph
Derivative of y=x^7-13x
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