Mister Exam

Other calculators

Derivative of x^4-8x^2+7

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4      2    
x  - 8*x  + 7
$$\left(x^{4} - 8 x^{2}\right) + 7$$
x^4 - 8*x^2 + 7
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
-16*x + 4*x 
$$4 x^{3} - 16 x$$
The second derivative [src]
  /        2\
4*\-4 + 3*x /
$$4 \left(3 x^{2} - 4\right)$$
The third derivative [src]
24*x
$$24 x$$