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The derivative of the function/ f(x)=3x⁴+5

Derivative of f(x)=3x⁴+5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4    
3*x  + 5
$$3 x^{4} + 5$$ 
3*x^4 + 5
Detail solution

  1. Differentiate term by term:

    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:

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
12*x
$$12 x^{3}$$
Simplify
The second derivative [src] 
    2
36*x
$$36 x^{2}$$
Simplify
The third derivative [src] 
72*x
$$72 x$$
Simplify
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