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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derivative of

\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{d}{d x} (x + y + 2)

\int \frac{3 x ^{2} + 2 x + 4}{x ^{3} + 4 x} d x

\frac{d r}{d θ} + r tan (θ) = 3 tan (θ)

e^{5} + ln (7)

\int \frac{1}{3 x + 4} d x

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