Mister Exam

Other calculators

x^3-5x
The derivative of the function/ x^3-5x

Derivative of x^3-5x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3      
x  - 5*x
x3−5xx^{3} - 5 x 
x^3 - 5*x
Detail solution

  1. Differentiate x3−5xx^{3} - 5 x term by term:

    1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

    2. 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: −5-5

    The result is: 3x2−53 x^{2} - 5

The answer is:

3x2−53 x^{2} - 5

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        2
-5 + 3*x
3x2−53 x^{2} - 5
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3-5x
    © Mister Exam – Calculator