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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

The graph:

from to

Piecewise:

The solution

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

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         6
-13 + 7*x
$$7 x^{6} - 13$$
Simplify
The second derivative [src] 
    5
42*x
$$42 x^{5}$$
Simplify
The third derivative [src] 
     4
210*x
$$210 x^{4}$$
Simplify
The graph
Derivative of y=x^7-13x
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