Find dy/dx for y=x^(-2/9)

Baladdaa9 2022-07-25 Answered

Find

\frac{d y}{d x}

for

y = x^{- 2 / 9}

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Answers (2)

i4epdp

Answered 2022-07-26 Author has 12 answers

y = x^{- 2 / 9}

Use power rule which is

\frac{d}{d x} [x^{n}] = n x^{n - 1}

So,

\frac{d y}{d x} = - \frac{2}{9} x^{- 11 / 9}

(I just moved

x^{- 11 / 9}

to the denominator which made it positive 11/9).

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on2t1inf8b

Answered 2022-07-27 Author has 4 answers

using

[x^{n}]^{'} = n x^{n - 1}

we have:

\frac{d y}{d x} = - \frac{2}{9} x^{- \frac{2}{9} - 1} = - \frac{2}{9} x^{- \frac{11}{9}}

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