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x^3-4x+5

Derivative of x^3-4x+5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3          
x  - 4*x + 5
x34x+5x^{3} - 4 x + 5
d / 3          \
--\x  - 4*x + 5/
dx              
ddx(x34x+5)\frac{d}{d x} \left(x^{3} - 4 x + 5\right)
Detail solution
  1. Differentiate x34x+5x^{3} - 4 x + 5 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. 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

      So, the result is: 4-4

    3. The derivative of the constant 55 is zero.

    The result is: 3x243 x^{2} - 4


The answer is:

3x243 x^{2} - 4

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
        2
-4 + 3*x 
3x243 x^{2} - 4
The second derivative [src]
6*x
6x6 x
The third derivative [src]
6
66
The graph
Derivative of x^3-4x+5