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y=x^4+2x^2+5

Derivative of y=x^4+2x^2+5

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  + 5
$$\left(x^{4} + 2 x^{2}\right) + 5$$
x^4 + 2*x^2 + 5
Detail solution
  1. Differentiate term by term:

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      2. 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 result is:

    2. The derivative of the constant is zero.

    The result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
         3
4*x + 4*x 
$$4 x^{3} + 4 x$$
The second derivative [src]
  /       2\
4*\1 + 3*x /
$$4 \left(3 x^{2} + 1\right)$$
The third derivative [src]
24*x
$$24 x$$
The graph
Derivative of y=x^4+2x^2+5