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f(x)=2x⁴
The derivative of the function/ f(x)=2x⁴

Derivative of f(x)=2x⁴

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4
2*x
$$2 x^{4}$$ 
d /   4\
--\2*x /
dx
$$\frac{d}{d x} 2 x^{4}$$
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: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3
8*x
$$8 x^{3}$$
Simplify
The second derivative [src] 
    2
24*x
$$24 x^{2}$$
Simplify
The third derivative [src] 
48*x
$$48 x$$
Simplify
The graph
Derivative of f(x)=2x⁴
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