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y=x^3-2x+5
The derivative of the function/ y=x^3-2x+5

Derivative of y=x^3-2x+5

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

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The solution

You have entered [src] 
 3          
x  - 2*x + 5
x3−2x+5x^{3} - 2 x + 5 
d / 3          \
--\x  - 2*x + 5/
dx
ddx(x3−2x+5)\frac{d}{d x} \left(x^{3} - 2 x + 5\right)
Transform
Detail solution

  1. Differentiate x3−2x+5x^{3} - 2 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: 22

      So, the result is: −2-2

    3. The derivative of the constant 55 is zero.

    The result is: 3x2−23 x^{2} - 2

The answer is:

3x2−23 x^{2} - 2

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        2
-2 + 3*x
3x2−23 x^{2} - 2
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of y=x^3-2x+5
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