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y=8x^4
The derivative of the function/ y=8x^4

Derivative of y=8x^4

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

The graph:

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Piecewise:

The solution

You have entered [src] 
   4
8*x
8x48 x^{4} 
d /   4\
--\8*x /
dx
ddx8x4\frac{d}{d x} 8 x^{4}
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: x4x^{4} goes to 4x34 x^{3}

    So, the result is: 32x332 x^{3}

The answer is:

32x332 x^{3}

The graph
02468-8-6-4-2-1010-100000100000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
32*x
32x332 x^{3}
Simplify
The second derivative [src] 
    2
96*x
96x296 x^{2}
Simplify
The third derivative [src] 
192*x
192x192 x
Simplify
The graph
Derivative of y=8x^4
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