Question

Please answer ASAP with explanation.

Answer 1

$\huge\underline\mathfrak\pink{solution}$

$\frac{d}{dx} ( \frac{1}{x {}^{n} } )$

$\frac{d}{dx} (x {}^{ - n} )$

$- n \times x {}^{ - n - 1}$

$- n \times {x}^{ - (n + 1)}$

$- n \times \frac{1}{ {x}^{n + 1} }$

$\frac{ - n}{ {x}^{n + 1} }$

hope it helps you dear.

I want to know about you.

next time.

Answer 2

Answer

• $\sf Option \ B = \dfrac{-n}{x^{n + 1}}$

━━━━━━━━━━━━━━━━━━━━━━

$\displaystyle\underline{\bigstar\:\textsf{According to the Question :}}$

$\sf :\implies \dfrac{d}{dx}\bigg(\dfrac{1}{x^n}\bigg)$

$\sf :\implies \dfrac{d}{dx}\bigg( x^{-n}\bigg)$

• $\sf\dfrac{d}{dx} x^n = nx^{n-1}$

$\sf :\implies -n \times x^{-n-1}$

$\sf :\implies -n \times x^{-(n+1}$

$\sf :\implies -n \times \dfrac{1}{x^{n+1}}$

$\sf :\implies\dfrac{-n}{x^{n+1}}$