What is the derivative of (z-i)^3 ?

The derivative of (z-i)^3 is 3(z-i)^2

What is the first derivative of (z-i)^3 ?

The first derivative of (z-i)^3 is 3(z-i)^2

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derivative of

(z - i)^{3}

3 (z - i)^{2}

Solution steps

\frac{d}{d z} ((z - i)^{3})

Apply the chain rule:

3 (z - i)^{2} \frac{d}{d z} (z - i)

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

\frac{d}{d z} (z - i) = 1

= 3 (z - i)^{2} \cdot 1

Simplify

= 3 (z - i)^{2}

y = \frac{1}{( x ^{2} ) + x ^{2}}

\frac{d}{d x} (5 \cdot 2 tan^{23} (x))

2 x - (\frac{250}{x ^{2}})

\frac{60}{( 12 + x ^{2} )}

\frac{1}{( 3 x + 2 )}

What is the derivative of (z-i)^3 ?
The derivative of (z-i)^3 is 3(z-i)^2
What is the first derivative of (z-i)^3 ?
The first derivative of (z-i)^3 is 3(z-i)^2