What is the derivative of ((x^2-4)/(x-2)) ?

The derivative of ((x^2-4)/(x-2)) is 1

What is the first derivative of ((x^2-4)/(x-2)) ?

The first derivative of ((x^2-4)/(x-2)) is 1

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\frac{d}{d x} (\frac{( x ^{2} - 4 )}{x - 2})

1

Solution steps

\frac{d}{d x} (\frac{( x ^{2} - 4 )}{x - 2})

Simplify

\frac{( x ^{2} - 4 )}{x - 2} : x + 2

= \frac{d}{d x} (x + 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d x} + \frac{d}{d x} (2)

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

= 1 + 0

Simplify

= 1

\frac{1 + X}{1 - X}

\int e^{c o s (25 t)} sin (25 t) d t

x + \frac{5}{x}

\frac{x d y}{d x} - y = x^{2017} \cdot y^{2}

\frac{\partial}{\partial x} ((2 - x y) e^{- x y})

What is the derivative of ((x^2-4)/(x-2)) ?
The derivative of ((x^2-4)/(x-2)) is 1
What is the first derivative of ((x^2-4)/(x-2)) ?
The first derivative of ((x^2-4)/(x-2)) is 1