Mister Exam

Lang:

The derivative of the function/ y*y

Derivative of y*y

The solution

You have entered [src]

y*y

$$y y$$

y*y

Detail solution

Apply the product rule:

$\frac{d}{d y} f{\left(y \right)} g{\left(y \right)} = f{\left(y \right)} \frac{d}{d y} g{\left(y \right)} + g{\left(y \right)} \frac{d}{d y} f{\left(y \right)}$

$f{\left(y \right)} = y$ ; to find $\frac{d}{d y} f{\left(y \right)}$ :
1. Apply the power rule: $y$ goes to $1$
$g{\left(y \right)} = y$ ; to find $\frac{d}{d y} g{\left(y \right)}$ :
1. Apply the power rule: $y$ goes to $1$
The result is: $2 y$

The answer is:

$2 y$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2*y

$$2 y$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y*y