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

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

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

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

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derivative of

\frac{x ^{2} - a ^{2}}{x - a}

1

Solution steps

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

Simplify

\frac{x ^{2} - a ^{2}}{x - a} : x + a

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

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d a}{d x}

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

\frac{d a}{d x} = 0

= 1 + 0

Simplify

= 1

y = x^{6 x}

x \to 0 lim (∣ x ∣^{∣ x ∣})

\int \frac{- x ^{3} + 2 x ^{2} - x + 1}{x ( x ^{2} + 1 ) ^{2}} d x

\int (x - 7) sin (π x) d x

((x^{3} - 16 x)^{12}), at x = - 4

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