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9*x^8
The derivative of the function/ 9*x^8

Derivative of 9*x^8

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   8
9*x
9x89 x^{8} 
d /   8\
--\9*x /
dx
ddx9x8\frac{d}{d x} 9 x^{8}
Transform
Detail solution

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

    1. Apply the power rule: x8x^{8} goes to 8x78 x^{7}

    So, the result is: 72x772 x^{7}

The answer is:

72x772 x^{7}

The graph
02468-8-6-4-2-1010-20000000002000000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    7
72*x
72x772 x^{7}
Simplify
The second derivative [src] 
     6
504*x
504x6504 x^{6}
Simplify
The third derivative [src] 
      5
3024*x
3024x53024 x^{5}
Simplify
The graph
Derivative of 9*x^8
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