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

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

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

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

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\frac{d}{d x} (d - b + \frac{- a x ^{3} - d}{x ^{2}})

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

Solution steps

\frac{d}{d x} (d - b + \frac{- a x ^{3} - d}{x ^{2}})

Treat

b, a, d

as a constant

Apply the Sum/Difference Rule:

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

= \frac{dd}{d x} - \frac{d b}{d x} + \frac{d}{d x} (\frac{- a x ^{3} - d}{x ^{2}})

\frac{dd}{d x} = 0

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

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

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

Simplify

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

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

\frac{d x}{d y} = x (1 - x)

x \to 0 lim ((1 + x^{2})^{\frac{1}{x}})

4 \frac{d ^{2} x}{d t ^{2}} + 7 \frac{d x}{d t} + 15 x = 0

x \to 10 - lim (\frac{- 8}{x - 10})

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