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Identical expressions
y=x^ two /x- one
y equally x squared divide by x minus 1
y equally x to the power of two divide by x minus one
y=x2/x-1
y=x²/x-1
y=x to the power of 2/x-1
y=x^2 divide by x-1
Similar expressions
y=x^2/x+1

The derivative of the function/ y=x^2/x-1

Derivative of y=x^2/x-1

The solution

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 2    
x     
-- - 1
x

$$-1 + \frac{x^{2}}{x}$$

x^2/x - 1

Detail solution

Differentiate $-1 + \frac{x^{2}}{x}$ term by term:
1. Apply the quotient rule, which is:
  
  $\frac{d}{d x} \frac{f{\left(x \right)}}{g{\left(x \right)}} = \frac{- f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}}{g^{2}{\left(x \right)}}$
  
  $f{\left(x \right)} = x^{2}$ and $g{\left(x \right)} = x$ .
  
  To find $\frac{d}{d x} f{\left(x \right)}$ :
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  To find $\frac{d}{d x} g{\left(x \right)}$ :
  1. Apply the power rule: $x$ goes to $1$
  Now plug in to the quotient rule:
  
  $1$
2. The derivative of the constant $-1$ is zero.
The result is: $1$

The answer is:

$1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

$$1$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=x^2/x-1