What is the derivative of (x^2-25)/(x-5) ?

The derivative of (x^2-25)/(x-5) is 1

What is the first derivative of (x^2-25)/(x-5) ?

The first derivative of (x^2-25)/(x-5) is 1

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derivative of

\frac{x ^{2} - 25}{x - 5}

1

Solution steps

\frac{d}{d x} (\frac{x ^{2} - 25}{x - 5})

Simplify

\frac{x ^{2} - 25}{x - 5} : x + 5

= \frac{d}{d x} (x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= 1 + 0

Simplify

= 1

What is the derivative of (x^2-25)/(x-5) ?
The derivative of (x^2-25)/(x-5) is 1
What is the first derivative of (x^2-25)/(x-5) ?
The first derivative of (x^2-25)/(x-5) is 1