What is the derivative of (z-1)/(x^3) ?

The derivative of (z-1)/(x^3) is 1/(x^3)

What is the first derivative of (z-1)/(x^3) ?

The first derivative of (z-1)/(x^3) is 1/(x^3)

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derivative of

\frac{z - 1}{x ^{3}}

\frac{1}{x ^{3}}

Solution steps

\frac{d}{d z} (\frac{z - 1}{x ^{3}})

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{x ^{3}} \frac{d}{d z} (z - 1)

Apply the Sum/Difference Rule:

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

= \frac{1}{x ^{3}} (\frac{d z}{d z} - \frac{d}{d z} (1))

\frac{d z}{d z} = 1

\frac{d}{d z} (1) = 0

= \frac{1}{x ^{3}} (1 - 0)

Simplify

= \frac{1}{x ^{3}}

What is the derivative of (z-1)/(x^3) ?
The derivative of (z-1)/(x^3) is 1/(x^3)
What is the first derivative of (z-1)/(x^3) ?
The first derivative of (z-1)/(x^3) is 1/(x^3)