Answered: "Find derivatives of w=(z+1)(z−1)(z2+1)" - Plainmath

geduiwelh

Answered question

2021-09-19

Find derivatives of

w = (z + 1) (z - 1) (z^{2} + 1)

Answer & Explanation

curwyrm

Skilled2021-09-20Added 87 answers

Step 1
Given function is:

w = (z + 1) (z - 1) (z^{2} + 1)

We have to find

\frac{d w}{d z}

.
Step 2
Then we get,

w = (z + 1) (z - 1) (z^{2} + 1)

\Rightarrow w = (z^{2} - 1) (z^{2} + 1)

\Rightarrow w = z^{4} - 1

Therefore we get,

\frac{d w}{d z} = 4 z^{3}

Hence the answer.

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