Mister Exam

Other calculators

5+4*x-x^3/3
The derivative of the function/ 5+4*x-x^3/3

You entered:

5+4*x-x^3/3

What you mean?

5 + 4*x - x^3/3
 
5 + 4*x - x^1
 
(5 + 4*x - x^3)/3
 
5 - x^3 + 4*x/3
 
5 + 4*(x - x^3)/3
 
5 + 4*x - x^3/3
 
5 + 4*x - x*3/3

Derivative of 5+4*x-x^3/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
           3
          x 
5 + 4*x - --
          3
−x33+4x+5- \frac{x^{3}}{3} + 4 x + 5 
  /           3\
d |          x |
--|5 + 4*x - --|
dx\          3 /
ddx(−x33+4x+5)\frac{d}{d x} \left(- \frac{x^{3}}{3} + 4 x + 5\right)
Transform
Detail solution

  1. Differentiate −x33+4x+5- \frac{x^{3}}{3} + 4 x + 5 term by term:

    1. The derivative of the constant 55 is zero.

    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: 44

    3. 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: x3x^{3} goes to 3x23 x^{2}

        So, the result is: x2x^{2}

      So, the result is: −x2- x^{2}

    The result is: 4−x24 - x^{2}

The answer is:

4−x24 - x^{2}

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     2
4 - x
4−x24 - x^{2}
Simplify
The second derivative [src] 
-2*x
−2x- 2 x
Simplify
The third derivative [src] 
-2
−2-2
Simplify
The graph
Derivative of 5+4*x-x^3/3
    © Mister Exam – Calculator