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The derivative of the function/ y=30x-0,02x^3

Derivative of y=30x-0,02x^3

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

The graph:

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Piecewise:

The solution

You have entered [src] 
        3
       x 
30*x - --
       50
−x350+30x- \frac{x^{3}}{50} + 30 x 
30*x - x^3/50
Detail solution

  1. Differentiate −x350+30x- \frac{x^{3}}{50} + 30 x term by term:

    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: 3030

    2. 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: −3x250- \frac{3 x^{2}}{50}

    The result is: 30−3x25030 - \frac{3 x^{2}}{50}

The answer is:

30−3x25030 - \frac{3 x^{2}}{50}

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        2
     3*x 
30 - ----
      50
30−3x25030 - \frac{3 x^{2}}{50}
Simplify
The second derivative [src] 
-3*x
----
 25
−3x25- \frac{3 x}{25}
Simplify
The third derivative [src] 
-3/25
−325- \frac{3}{25}
Simplify
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