Mister Exam

Derivative of y=x⁴-3x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4      
x  - 3*x
x43xx^{4} - 3 x
d / 4      \
--\x  - 3*x/
dx          
ddx(x43x)\frac{d}{d x} \left(x^{4} - 3 x\right)
Detail solution
  1. Differentiate x43xx^{4} - 3 x term by term:

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

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      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: 33

      So, the result is: 3-3

    The result is: 4x334 x^{3} - 3


The answer is:

4x334 x^{3} - 3

The graph
02468-8-6-4-2-1010-2000020000
The first derivative [src]
        3
-3 + 4*x 
4x334 x^{3} - 3
The second derivative [src]
    2
12*x 
12x212 x^{2}
The third derivative [src]
24*x
24x24 x
The graph
Derivative of y=x⁴-3x