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Derivative of -x^4+4x^2-5

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

The graph:

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The solution

You have entered [src]
   4      2    
- x  + 4*x  - 5
$$\left(- x^{4} + 4 x^{2}\right) - 5$$
-x^4 + 4*x^2 - 5
Detail solution
  1. Differentiate term by term:

    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 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  + 8*x
$$- 4 x^{3} + 8 x$$
The second derivative [src]
  /       2\
4*\2 - 3*x /
$$4 \left(2 - 3 x^{2}\right)$$
The third derivative [src]
-24*x
$$- 24 x$$