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y=7x+x^4
The derivative of the function/ y=7x+x^4

Derivative of y=7x+x^4

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

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The solution

You have entered [src] 
       4
7*x + x
x4+7xx^{4} + 7 x 
7*x + x^4
Detail solution

  1. Differentiate x4+7xx^{4} + 7 x 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: xx goes to 11

      So, the result is: 77

    2. Apply the power rule: x4x^{4} goes to 4x34 x^{3}

    The result is: 4x3+74 x^{3} + 7

The answer is:

4x3+74 x^{3} + 7

The graph
02468-8-6-4-2-1010-2000020000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       3
7 + 4*x
4x3+74 x^{3} + 7
Simplify
The second derivative [src] 
    2
12*x
12x212 x^{2}
Simplify
The third derivative [src] 
24*x
24x24 x
Simplify
The graph
Derivative of y=7x+x^4
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