What is the derivative of d-d/(x^2-ax-b) ?

The derivative of d-d/(x^2-ax-b) is (2d)/(x^3)-a

What is the first derivative of d-d/(x^2-ax-b) ?

The first derivative of d-d/(x^2-ax-b) is (2d)/(x^3)-a

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

\frac{2 d}{x ^{3}} - a

Solution steps

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

Treat

a, b, d

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{dd}{d x} = 0

\frac{d}{d x} (\frac{d}{x ^{2}}) = - \frac{2 d}{x ^{3}}

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

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

= 0 - (- \frac{2 d}{x ^{3}}) - a - 0

Simplify

= \frac{2 d}{x ^{3}} - a

\frac{d}{d x} (\frac{1 + cos ( 2 x )}{2})

\int ln ∣ e^{x y} cos (x) ∣ d y

\int t \cdot ln (t + 1) d t

\frac{d}{d x} (\frac{3}{x + 9})

- 7 z^{4} + z^{2} - 25

What is the derivative of d-d/(x^2-ax-b) ?
The derivative of d-d/(x^2-ax-b) is (2d)/(x^3)-a
What is the first derivative of d-d/(x^2-ax-b) ?
The first derivative of d-d/(x^2-ax-b) is (2d)/(x^3)-a