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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
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The solution

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   4    
3*x  + 5
3x4+53 x^{4} + 5 
3*x^4 + 5
Detail solution

  1. Differentiate 3x4+53 x^{4} + 5 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: x4x^{4} goes to 4x34 x^{3}

      So, the result is: 12x312 x^{3}

    2. The derivative of the constant 55 is zero.

    The result is: 12x312 x^{3}

The answer is:

12x312 x^{3}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
12*x
12x312 x^{3}
Simplify
The second derivative [src] 
    2
36*x
36x236 x^{2}
Simplify
The third derivative [src] 
72*x
72x72 x
Simplify
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