Mister Exam

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The derivative of the function/ y^3-y

Derivative of y^3-y

The solution

You have entered [src]

 3    
y  - y

$$y^{3} - y$$

y^3 - y

Detail solution

Differentiate $y^{3} - y$ term by term:
1. Apply the power rule: $y^{3}$ goes to $3 y^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $y$ goes to $1$
  So, the result is: $-1$
The result is: $3 y^{2} - 1$

The answer is:

$3 y^{2} - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-1 + 3*y

$$3 y^{2} - 1$$

Simplify

The second derivative [src]

6*y

$$6 y$$

Simplify

The third derivative [src]

$$6$$

Simplify